7,625,865

3 × 5 × 13 × 39107

Prime Factor Structure

Factorization String 3 × 5 × 13 × 39107

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,140,288

Proper Divisor Sum 5,514,423

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7625851 ← → #7625867

Radix Representation

Decimal	7625865
Binary	11101000101110010001001 (23 bits)
Octal	0o35056211
Hexadecimal	0x745C89

Divisor Catalog (16)

1 3 5 13 15 39 65 195 39,107 117,321 195,535 508,391 586,605 1,525,173 2,541,955 7,625,865

Collatz Trajectory (155 steps to reach 1)

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

7,625,865 22,877,596 11,438,798 5,719,399 17,158,198 8,579,099 25,737,298 12,868,649 38,605,948 19,302,974 9,651,487 28,954,462 14,477,231 43,431,694 21,715,847 65,147,542 32,573,771 97,721,314 48,860,657 146,581,972 73,290,986 36,645,493 109,936,480 54,968,240 27,484,120 13,742,060 6,871,030 3,435,515 10,306,546 5,153,273 15,459,820 7,729,910 3,864,955 11,594,866 5,797,433 17,392,300 8,696,150 4,348,075 13,044,226 6,522,113 19,566,340 9,783,170 4,891,585 14,674,756 7,337,378 3,668,689 11,006,068 5,503,034 2,751,517 8,254,552 4,127,276 2,063,638 1,031,819 3,095,458 1,547,729 4,643,188 2,321,594 1,160,797 3,482,392 1,741,196

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