42,730,928

2⁴ × 17 × 127 × 1237

42,730,928 factors as 2^4 × 17 × 127 × 1237. Its 40 positive divisors give a proper-divisor sum of 45,691,984, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 127 × 1237

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 88,422,912

Proper Divisor Sum 45,691,984

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #42730921 ← → #42730931

Radix Representation

Decimal	42730928
Binary	10100011000000010110110000 (26 bits)
Octal	0o243002660
Hexadecimal	0x28C05B0

Divisor Catalog (40)

Collatz Trajectory (98 steps to reach 1)

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

42,730,928 21,365,464 10,682,732 5,341,366 2,670,683 8,012,050 4,006,025 12,018,076 6,009,038 3,004,519 9,013,558 4,506,779 13,520,338 6,760,169 20,280,508 10,140,254 5,070,127 15,210,382 7,605,191 22,815,574 11,407,787 34,223,362 17,111,681 51,335,044 25,667,522 12,833,761 38,501,284 19,250,642 9,625,321 28,875,964 14,437,982 7,218,991 21,656,974 10,828,487 32,485,462 16,242,731 48,728,194 24,364,097 73,092,292 36,546,146 18,273,073 54,819,220 27,409,610 13,704,805 41,114,416 20,557,208 10,278,604 5,139,302 2,569,651 7,708,954 3,854,477 11,563,432 5,781,716 2,890,858 1,445,429 4,336,288 2,168,144 1,084,072 542,036 271,018

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