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Atlas › Integer Profiles › Node 42,522,886

42,522,886

2 × 72 × 31 × 13997
Deficient Even Composite

42,522,886 factors as 2 × 7^2 × 31 × 13997. Its 24 positive divisors give a proper-divisor sum of 34,074,170, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 31 × 13997
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 76,597,056
Proper Divisor Sum 34,074,170
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #42522871 ← → #42522901

Radix Representation

Decimal 42522886
Binary 10100010001101100100000110 (26 bits)
Octal 0o242154406
Hexadecimal 0x288D906

Divisor Catalog (24)

1 2 7 14 31 49 62 98 217 434 1,519 3,038 13,997 27,994 97,979 195,958 433,907 685,853 867,814 1,371,706 3,037,349 6,074,698 21,261,443 42,522,886

Collatz Trajectory (98 steps to reach 1)

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

42,522,886 21,261,443 63,784,330 31,892,165 95,676,496 47,838,248 23,919,124 11,959,562 5,979,781 17,939,344 8,969,672 4,484,836 2,242,418 1,121,209 3,363,628 1,681,814 840,907 2,522,722 1,261,361 3,784,084 1,892,042 946,021 2,838,064 1,419,032 709,516 354,758 177,379 532,138 266,069 798,208 399,104 199,552 99,776 49,888 24,944 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209

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