λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,635,872

13,635,872

25 × 23 × 97 × 191
Abundant Even Composite

13,635,872 factors as 2^5 × 23 × 97 × 191. Its 48 positive divisors give a proper-divisor sum of 14,813,920, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^5 × 23 × 97 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 28,449,792
Proper Divisor Sum 14,813,920
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #13635871 ← → #13635899

Radix Representation

Decimal 13635872
Binary 110100000001000100100000 (24 bits)
Octal 0o64010440
Hexadecimal 0xD01120

Divisor Catalog (48)

1 2 4 8 16 23 32 46 92 97 184 191 194 368 382 388 736 764 776 1,528 1,552 2,231 3,056 3,104 4,393 4,462 6,112 8,786 8,924 17,572 17,848 18,527 35,144 35,696 37,054 70,288 71,392 74,108 140,576 148,216 296,432 426,121 592,864 852,242 1,704,484 3,408,968 6,817,936 13,635,872

Collatz Trajectory (130 steps to reach 1)

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

13,635,872 6,817,936 3,408,968 1,704,484 852,242 426,121 1,278,364 639,182 319,591 958,774 479,387 1,438,162 719,081 2,157,244 1,078,622 539,311 1,617,934 808,967 2,426,902 1,213,451 3,640,354 1,820,177 5,460,532 2,730,266 1,365,133 4,095,400 2,047,700 1,023,850 511,925 1,535,776 767,888 383,944 191,972 95,986 47,993 143,980 71,990 35,995 107,986 53,993 161,980 80,990 40,495 121,486 60,743 182,230 91,115 273,346 136,673 410,020 205,010 102,505 307,516 153,758 76,879 230,638 115,319 345,958 172,979 518,938

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #13,635,871 Browse Full Index Next Integer #13,635,873 →