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Atlas › Integer Profiles › Node 25,878,615

25,878,615

3 × 5 × 72 × 137 × 257
Deficient Odd Composite

25,878,615 factors as 3 × 5 × 7^2 × 137 × 257. Its 48 positive divisors give a proper-divisor sum of 22,827,657, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 137 × 257
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 48,706,272
Proper Divisor Sum 22,827,657
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #25878613 ← → #25878617

Radix Representation

Decimal 25878615
Binary 1100010101110000001010111 (25 bits)
Octal 0o142560127
Hexadecimal 0x18AE057

Divisor Catalog (48)

1 3 5 7 15 21 35 49 105 137 147 245 257 411 685 735 771 959 1,285 1,799 2,055 2,877 3,855 4,795 5,397 6,713 8,995 12,593 14,385 20,139 26,985 33,565 35,209 37,779 62,965 100,695 105,627 176,045 188,895 246,463 528,135 739,389 1,232,315 1,725,241 3,696,945 5,175,723 8,626,205 25,878,615

Collatz Trajectory (180 steps to reach 1)

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

25,878,615 77,635,846 38,817,923 116,453,770 58,226,885 174,680,656 87,340,328 43,670,164 21,835,082 10,917,541 32,752,624 16,376,312 8,188,156 4,094,078 2,047,039 6,141,118 3,070,559 9,211,678 4,605,839 13,817,518 6,908,759 20,726,278 10,363,139 31,089,418 15,544,709 46,634,128 23,317,064 11,658,532 5,829,266 2,914,633 8,743,900 4,371,950 2,185,975 6,557,926 3,278,963 9,836,890 4,918,445 14,755,336 7,377,668 3,688,834 1,844,417 5,533,252 2,766,626 1,383,313 4,149,940 2,074,970 1,037,485 3,112,456 1,556,228 778,114 389,057 1,167,172 583,586 291,793 875,380 437,690 218,845 656,536 328,268 164,134

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