7,651,004

2² × 113 × 16927

7,651,004 factors as 2^2 × 113 × 16927. Its 12 positive divisors give a proper-divisor sum of 5,857,540, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^2 × 113 × 16927

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,508,544

Proper Divisor Sum 5,857,540

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7650961 ← → #7651009

Radix Representation

Decimal	7651004
Binary	11101001011111010111100 (23 bits)
Octal	0o35137274
Hexadecimal	0x74BEBC

Divisor Catalog (12)

1 2 4 113 226 452 16,927 33,854 67,708 1,912,751 3,825,502 7,651,004

Collatz Trajectory (124 steps to reach 1)

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

7,651,004 3,825,502 1,912,751 5,738,254 2,869,127 8,607,382 4,303,691 12,911,074 6,455,537 19,366,612 9,683,306 4,841,653 14,524,960 7,262,480 3,631,240 1,815,620 907,810 453,905 1,361,716 680,858 340,429 1,021,288 510,644 255,322 127,661 382,984 191,492 95,746 47,873 143,620 71,810 35,905 107,716 53,858 26,929 80,788 40,394 20,197 60,592 30,296 15,148 7,574 3,787 11,362 5,681 17,044 8,522 4,261 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098

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