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Atlas › Integer Profiles › Node 12,373,848

12,373,848

23 × 32 × 89 × 1931
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 89 × 1931
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 33,906,600
Proper Divisor Sum 21,532,752
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #12373847 ← → #12373861

Radix Representation

Decimal 12373848
Binary 101111001100111101011000 (24 bits)
Octal 0o57147530
Hexadecimal 0xBCCF58

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1,068 1,602 1,931 2,136 3,204 3,862 5,793 6,408 7,724 11,586 15,448 17,379 23,172 34,758 46,344 69,516 139,032 171,859 343,718 515,577 687,436 1,031,154 1,374,872 1,546,731 2,062,308 3,093,462 4,124,616 6,186,924 12,373,848

Collatz Trajectory (365 steps to reach 1)

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

12,373,848 6,186,924 3,093,462 1,546,731 4,640,194 2,320,097 6,960,292 3,480,146 1,740,073 5,220,220 2,610,110 1,305,055 3,915,166 1,957,583 5,872,750 2,936,375 8,809,126 4,404,563 13,213,690 6,606,845 19,820,536 9,910,268 4,955,134 2,477,567 7,432,702 3,716,351 11,149,054 5,574,527 16,723,582 8,361,791 25,085,374 12,542,687 37,628,062 18,814,031 56,442,094 28,221,047 84,663,142 42,331,571 126,994,714 63,497,357 190,492,072 95,246,036 47,623,018 23,811,509 71,434,528 35,717,264 17,858,632 8,929,316 4,464,658 2,232,329 6,696,988 3,348,494 1,674,247 5,022,742 2,511,371 7,534,114 3,767,057 11,301,172 5,650,586 2,825,293

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