9,737,417

29 × 467 × 719

For 9,737,417, the 8 positive divisors have a total of 10,108,800. Removing 9,737,417 leaves 371,383, which gives the deficient classification.

Prime Factor Structure

Factorization String 29 × 467 × 719

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,108,800

Proper Divisor Sum 371,383

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9737407 ← → #9737423

Radix Representation

Decimal	9737417
Binary	100101001001010011001001 (24 bits)
Octal	0o45112311
Hexadecimal	0x9494C9

Divisor Catalog (8)

1 29 467 719 13,543 20,851 335,773 9,737,417

Collatz Trajectory (176 steps to reach 1)

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

9,737,417 29,212,252 14,606,126 7,303,063 21,909,190 10,954,595 32,863,786 16,431,893 49,295,680 24,647,840 12,323,920 6,161,960 3,080,980 1,540,490 770,245 2,310,736 1,155,368 577,684 288,842 144,421 433,264 216,632 108,316 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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