9,724,948

2² × 31 × 78427

9,724,948 factors as 2^2 × 31 × 78427. Its 12 positive divisors give a proper-divisor sum of 7,842,924, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 78427

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,567,872

Proper Divisor Sum 7,842,924

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9724937 ← → #9724961

Radix Representation

Decimal	9724948
Binary	100101000110010000010100 (24 bits)
Octal	0o45062024
Hexadecimal	0x946414

Divisor Catalog (12)

1 2 4 31 62 124 78,427 156,854 313,708 2,431,237 4,862,474 9,724,948

Collatz Trajectory (114 steps to reach 1)

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

9,724,948 4,862,474 2,431,237 7,293,712 3,646,856 1,823,428 911,714 455,857 1,367,572 683,786 341,893 1,025,680 512,840 256,420 128,210 64,105 192,316 96,158 48,079 144,238 72,119 216,358 108,179 324,538 162,269 486,808 243,404 121,702 60,851 182,554 91,277 273,832 136,916 68,458 34,229 102,688 51,344 25,672 12,836 6,418 3,209 9,628 4,814 2,407 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720

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