42,007,247

37 × 41 × 27691

42,007,247 factors as 37 × 41 × 27691. Its 8 positive divisors give a proper-divisor sum of 2,189,185, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 37 × 41 × 27691

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 44,196,432

Proper Divisor Sum 2,189,185

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #42007243 ← → #42007267

Radix Representation

Decimal	42007247
Binary	10100000001111101011001111 (26 bits)
Octal	0o240175317
Hexadecimal	0x280FACF

Divisor Catalog (8)

1 37 41 1,517 27,691 1,024,567 1,135,331 42,007,247

Collatz Trajectory (178 steps to reach 1)

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

42,007,247 126,021,742 63,010,871 189,032,614 94,516,307 283,548,922 141,774,461 425,323,384 212,661,692 106,330,846 53,165,423 159,496,270 79,748,135 239,244,406 119,622,203 358,866,610 179,433,305 538,299,916 269,149,958 134,574,979 403,724,938 201,862,469 605,587,408 302,793,704 151,396,852 75,698,426 37,849,213 113,547,640 56,773,820 28,386,910 14,193,455 42,580,366 21,290,183 63,870,550 31,935,275 95,805,826 47,902,913 143,708,740 71,854,370 35,927,185 107,781,556 53,890,778 26,945,389 80,836,168 40,418,084 20,209,042 10,104,521 30,313,564 15,156,782 7,578,391 22,735,174 11,367,587 34,102,762 17,051,381 51,154,144 25,577,072 12,788,536 6,394,268 3,197,134 1,598,567

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #42,007,246 Browse Full Index Next Integer #42,007,248 →