42,322,232

2³ × 101 × 52379

42,322,232 factors as 2^3 × 101 × 52379. Its 16 positive divisors give a proper-divisor sum of 37,819,168, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^3 × 101 × 52379

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 80,141,400

Proper Divisor Sum 37,819,168

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #42322219 ← → #42322237

Radix Representation

Decimal	42322232
Binary	10100001011100100100111000 (26 bits)
Octal	0o241344470
Hexadecimal	0x285C938

Divisor Catalog (16)

1 2 4 8 101 202 404 808 52,379 104,758 209,516 419,032 5,290,279 10,580,558 21,161,116 42,322,232

Collatz Trajectory (129 steps to reach 1)

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

42,322,232 21,161,116 10,580,558 5,290,279 15,870,838 7,935,419 23,806,258 11,903,129 35,709,388 17,854,694 8,927,347 26,782,042 13,391,021 40,173,064 20,086,532 10,043,266 5,021,633 15,064,900 7,532,450 3,766,225 11,298,676 5,649,338 2,824,669 8,474,008 4,237,004 2,118,502 1,059,251 3,177,754 1,588,877 4,766,632 2,383,316 1,191,658 595,829 1,787,488 893,744 446,872 223,436 111,718 55,859 167,578 83,789 251,368 125,684 62,842 31,421 94,264 47,132 23,566 11,783 35,350 17,675 53,026 26,513 79,540 39,770 19,885 59,656 29,828 14,914 7,457

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