7,956,767

7² × 13 × 12491

7,956,767 factors as 7^2 × 13 × 12491. Its 12 positive divisors give a proper-divisor sum of 2,011,849, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 7^2 × 13 × 12491

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,968,616

Proper Divisor Sum 2,011,849

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #7956761 ← → #7956769

Radix Representation

Decimal	7956767
Binary	11110010110100100011111 (23 bits)
Octal	0o36264437
Hexadecimal	0x79691F

Divisor Catalog (12)

1 7 13 49 91 637 12,491 87,437 162,383 612,059 1,136,681 7,956,767

Collatz Trajectory (124 steps to reach 1)

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

7,956,767 23,870,302 11,935,151 35,805,454 17,902,727 53,708,182 26,854,091 80,562,274 40,281,137 120,843,412 60,421,706 30,210,853 90,632,560 45,316,280 22,658,140 11,329,070 5,664,535 16,993,606 8,496,803 25,490,410 12,745,205 38,235,616 19,117,808 9,558,904 4,779,452 2,389,726 1,194,863 3,584,590 1,792,295 5,376,886 2,688,443 8,065,330 4,032,665 12,097,996 6,048,998 3,024,499 9,073,498 4,536,749 13,610,248 6,805,124 3,402,562 1,701,281 5,103,844 2,551,922 1,275,961 3,827,884 1,913,942 956,971 2,870,914 1,435,457 4,306,372 2,153,186 1,076,593 3,229,780 1,614,890 807,445 2,422,336 1,211,168 605,584 302,792

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