25,115,974

2 × 13 × 263 × 3673

25,115,974 factors as 2 × 13 × 263 × 3673. Its 16 positive divisors give a proper-divisor sum of 15,621,338, so this integer is deficient. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2 × 13 × 263 × 3673

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 40,737,312

Proper Divisor Sum 15,621,338

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #25115941 ← → #25116041

Radix Representation

Decimal	25115974
Binary	1011111110011110101000110 (25 bits)
Octal	0o137636506
Hexadecimal	0x17F3D46

Divisor Catalog (16)

1 2 13 26 263 526 3,419 3,673 6,838 7,346 47,749 95,498 965,999 1,931,998 12,557,987 25,115,974

Collatz Trajectory (229 steps to reach 1)

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

25,115,974 12,557,987 37,673,962 18,836,981 56,510,944 28,255,472 14,127,736 7,063,868 3,531,934 1,765,967 5,297,902 2,648,951 7,946,854 3,973,427 11,920,282 5,960,141 17,880,424 8,940,212 4,470,106 2,235,053 6,705,160 3,352,580 1,676,290 838,145 2,514,436 1,257,218 628,609 1,885,828 942,914 471,457 1,414,372 707,186 353,593 1,060,780 530,390 265,195 795,586 397,793 1,193,380 596,690 298,345 895,036 447,518 223,759 671,278 335,639 1,006,918 503,459 1,510,378 755,189 2,265,568 1,132,784 566,392 283,196 141,598 70,799 212,398 106,199 318,598 159,299

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