9,173,502

2 × 3² × 13 × 197 × 199

For 9,173,502, the 48 positive divisors have a total of 21,621,600. Removing 9,173,502 leaves 12,448,098, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 197 × 199

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 21,621,600

Proper Divisor Sum 12,448,098

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9173473 ← → #9173509

Radix Representation

Decimal	9173502
Binary	100010111111100111111110 (24 bits)
Octal	0o42774776
Hexadecimal	0x8BF9FE

Divisor Catalog (48)

1 2 3 6 9 13 18 26 39 78 117 197 199 234 394 398 591 597 1,182 1,194 1,773 1,791 2,561 2,587 3,546 3,582 5,122 5,174 7,683 7,761 15,366 15,522 23,049 23,283 39,203 46,098 46,566 78,406 117,609 235,218 352,827 509,639 705,654 1,019,278 1,528,917 3,057,834 4,586,751 9,173,502

Collatz Trajectory (194 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,173,502 4,586,751 13,760,254 6,880,127 20,640,382 10,320,191 30,960,574 15,480,287 46,440,862 23,220,431 69,661,294 34,830,647 104,491,942 52,245,971 156,737,914 78,368,957 235,106,872 117,553,436 58,776,718 29,388,359 88,165,078 44,082,539 132,247,618 66,123,809 198,371,428 99,185,714 49,592,857 148,778,572 74,389,286 37,194,643 111,583,930 55,791,965 167,375,896 83,687,948 41,843,974 20,921,987 62,765,962 31,382,981 94,148,944 47,074,472 23,537,236 11,768,618 5,884,309 17,652,928 8,826,464 4,413,232 2,206,616 1,103,308 551,654 275,827 827,482 413,741 1,241,224 620,612 310,306 155,153 465,460 232,730 116,365 349,096

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