13,077,826

2 × 1627 × 4019

13,077,826 factors as 2 × 1627 × 4019. Its 8 positive divisors give a proper-divisor sum of 6,555,854, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2 × 1627 × 4019

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 19,633,680

Proper Divisor Sum 6,555,854

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #13077821 ← → #13077839

Radix Representation

Decimal	13077826
Binary	110001111000110101000010 (24 bits)
Octal	0o61706502
Hexadecimal	0xC78D42

Divisor Catalog (8)

1 2 1,627 3,254 4,019 8,038 6,538,913 13,077,826

Collatz Trajectory (104 steps to reach 1)

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

13,077,826 6,538,913 19,616,740 9,808,370 4,904,185 14,712,556 7,356,278 3,678,139 11,034,418 5,517,209 16,551,628 8,275,814 4,137,907 12,413,722 6,206,861 18,620,584 9,310,292 4,655,146 2,327,573 6,982,720 3,491,360 1,745,680 872,840 436,420 218,210 109,105 327,316 163,658 81,829 245,488 122,744 61,372 30,686 15,343 46,030 23,015 69,046 34,523 103,570 51,785 155,356 77,678 38,839 116,518 58,259 174,778 87,389 262,168 131,084 65,542 32,771 98,314 49,157 147,472 73,736 36,868 18,434 9,217 27,652 13,826

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