12,964,013

17 × 107 × 7127

12,964,013 factors as 17 × 107 × 7127. Its 8 positive divisors give a proper-divisor sum of 892,819, so this integer is deficient. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 17 × 107 × 7127

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,856,832

Proper Divisor Sum 892,819

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #12964001 ← → #12964037

Radix Representation

Decimal	12964013
Binary	110001011101000010101101 (24 bits)
Octal	0o61350255
Hexadecimal	0xC5D0AD

Divisor Catalog (8)

1 17 107 1,819 7,127 121,159 762,589 12,964,013

Collatz Trajectory (228 steps to reach 1)

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

12,964,013 38,892,040 19,446,020 9,723,010 4,861,505 14,584,516 7,292,258 3,646,129 10,938,388 5,469,194 2,734,597 8,203,792 4,101,896 2,050,948 1,025,474 512,737 1,538,212 769,106 384,553 1,153,660 576,830 288,415 865,246 432,623 1,297,870 648,935 1,946,806 973,403 2,920,210 1,460,105 4,380,316 2,190,158 1,095,079 3,285,238 1,642,619 4,927,858 2,463,929 7,391,788 3,695,894 1,847,947 5,543,842 2,771,921 8,315,764 4,157,882 2,078,941 6,236,824 3,118,412 1,559,206 779,603 2,338,810 1,169,405 3,508,216 1,754,108 877,054 438,527 1,315,582 657,791 1,973,374 986,687 2,960,062

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