9,747,731

7 × 79 × 17627

9,747,731 factors as 7 × 79 × 17627. Its 8 positive divisors give a proper-divisor sum of 1,534,189, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 7 × 79 × 17627

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,281,920

Proper Divisor Sum 1,534,189

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9747721 ← → #9747737

Radix Representation

Decimal	9747731
Binary	100101001011110100010011 (24 bits)
Octal	0o45136423
Hexadecimal	0x94BD13

Divisor Catalog (8)

1 7 79 553 17,627 123,389 1,392,533 9,747,731

Collatz Trajectory (114 steps to reach 1)

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

9,747,731 29,243,194 14,621,597 43,864,792 21,932,396 10,966,198 5,483,099 16,449,298 8,224,649 24,673,948 12,336,974 6,168,487 18,505,462 9,252,731 27,758,194 13,879,097 41,637,292 20,818,646 10,409,323 31,227,970 15,613,985 46,841,956 23,420,978 11,710,489 35,131,468 17,565,734 8,782,867 26,348,602 13,174,301 39,522,904 19,761,452 9,880,726 4,940,363 14,821,090 7,410,545 22,231,636 11,115,818 5,557,909 16,673,728 8,336,864 4,168,432 2,084,216 1,042,108 521,054 260,527 781,582 390,791 1,172,374 586,187 1,758,562 879,281 2,637,844 1,318,922 659,461 1,978,384 989,192 494,596 247,298 123,649 370,948

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