8,974,992

2⁴ × 3 × 13 × 19 × 757

8,974,992 factors as 2^4 × 3 × 13 × 19 × 757. Its 80 positive divisors give a proper-divisor sum of 17,342,768, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 19 × 757

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 26,317,760

Proper Divisor Sum 17,342,768

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #8974981 ← → #8974993

Radix Representation

Decimal	8974992
Binary	100010001111001010010000 (24 bits)
Octal	0o42171220
Hexadecimal	0x88F290

Divisor Catalog (60 of 80)

1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 757 912 988 1,482 1,514 1,976 2,271 2,964 3,028 3,952 4,542 5,928 6,056 9,084 9,841 11,856 12,112 14,383 18,168 19,682 28,766 29,523 36,336 39,364 43,149 57,532 59,046 78,728

Collatz Trajectory (111 steps to reach 1)

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

8,974,992 4,487,496 2,243,748 1,121,874 560,937 1,682,812 841,406 420,703 1,262,110 631,055 1,893,166 946,583 2,839,750 1,419,875 4,259,626 2,129,813 6,389,440 3,194,720 1,597,360 798,680 399,340 199,670 99,835 299,506 149,753 449,260 224,630 112,315 336,946 168,473 505,420 252,710 126,355 379,066 189,533 568,600 284,300 142,150 71,075 213,226 106,613 319,840 159,920 79,960 39,980 19,990 9,995 29,986 14,993 44,980 22,490 11,245 33,736 16,868 8,434 4,217 12,652 6,326 3,163 9,490

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