9,737,416

2³ × 13 × 93629

For 9,737,416, the 16 positive divisors have a total of 19,662,300. Removing 9,737,416 leaves 9,924,884, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 13 × 93629

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 19,662,300

Proper Divisor Sum 9,924,884

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9737407 ← → #9737423

Radix Representation

Decimal	9737416
Binary	100101001001010011001000 (24 bits)
Octal	0o45112310
Hexadecimal	0x9494C8

Divisor Catalog (16)

1 2 4 8 13 26 52 104 93,629 187,258 374,516 749,032 1,217,177 2,434,354 4,868,708 9,737,416

Collatz Trajectory (176 steps to reach 1)

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

9,737,416 4,868,708 2,434,354 1,217,177 3,651,532 1,825,766 912,883 2,738,650 1,369,325 4,107,976 2,053,988 1,026,994 513,497 1,540,492 770,246 385,123 1,155,370 577,685 1,733,056 866,528 433,264 216,632 108,316 54,158 27,079 81,238 40,619 121,858 60,929 182,788 91,394 45,697 137,092 68,546 34,273 102,820 51,410 25,705 77,116 38,558 19,279 57,838 28,919 86,758 43,379 130,138 65,069 195,208 97,604 48,802 24,401 73,204 36,602 18,301 54,904 27,452 13,726 6,863 20,590 10,295

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