9,931,998

2 × 3 × 23 × 71971

9,931,998 factors as 2 × 3 × 23 × 71971. Its 16 positive divisors give a proper-divisor sum of 10,795,938, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 71971

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 20,727,936

Proper Divisor Sum 10,795,938

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #9931951 ← → #9932009

Radix Representation

Decimal	9931998
Binary	100101111000110011011110 (24 bits)
Octal	0o45706336
Hexadecimal	0x978CDE

Divisor Catalog (16)

1 2 3 6 23 46 69 138 71,971 143,942 215,913 431,826 1,655,333 3,310,666 4,965,999 9,931,998

Collatz Trajectory (189 steps to reach 1)

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

9,931,998 4,965,999 14,897,998 7,448,999 22,346,998 11,173,499 33,520,498 16,760,249 50,280,748 25,140,374 12,570,187 37,710,562 18,855,281 56,565,844 28,282,922 14,141,461 42,424,384 21,212,192 10,606,096 5,303,048 2,651,524 1,325,762 662,881 1,988,644 994,322 497,161 1,491,484 745,742 372,871 1,118,614 559,307 1,677,922 838,961 2,516,884 1,258,442 629,221 1,887,664 943,832 471,916 235,958 117,979 353,938 176,969 530,908 265,454 132,727 398,182 199,091 597,274 298,637 895,912 447,956 223,978 111,989 335,968 167,984 83,992 41,996 20,998 10,499

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