41,985,261

3² × 79 × 59051

41,985,261 factors as 3^2 × 79 × 59051. Its 12 positive divisors give a proper-divisor sum of 19,428,819, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 3^2 × 79 × 59051

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 61,414,080

Proper Divisor Sum 19,428,819

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #41985247 ← → #41985277

Radix Representation

Decimal	41985261
Binary	10100000001010010011101101 (26 bits)
Octal	0o240122355
Hexadecimal	0x280A4ED

Divisor Catalog (12)

1 3 9 79 237 711 59,051 177,153 531,459 4,665,029 13,995,087 41,985,261

Collatz Trajectory (129 steps to reach 1)

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

41,985,261 125,955,784 62,977,892 31,488,946 15,744,473 47,233,420 23,616,710 11,808,355 35,425,066 17,712,533 53,137,600 26,568,800 13,284,400 6,642,200 3,321,100 1,660,550 830,275 2,490,826 1,245,413 3,736,240 1,868,120 934,060 467,030 233,515 700,546 350,273 1,050,820 525,410 262,705 788,116 394,058 197,029 591,088 295,544 147,772 73,886 36,943 110,830 55,415 166,246 83,123 249,370 124,685 374,056 187,028 93,514 46,757 140,272 70,136 35,068 17,534 8,767 26,302 13,151 39,454 19,727 59,182 29,591 88,774 44,387

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