46,841,956

2² × 7 × 1672927

46,841,956 factors as 2^2 × 7 × 1672927. Its 12 positive divisors give a proper-divisor sum of 46,842,012, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 1672927

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 93,683,968

Proper Divisor Sum 46,842,012

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #46841933 ← → #46841957

Radix Representation

Decimal	46841956
Binary	10110010101100000001100100 (26 bits)
Octal	0o262540144
Hexadecimal	0x2CAC064

Divisor Catalog (12)

1 2 4 7 14 28 1,672,927 3,345,854 6,691,708 11,710,489 23,420,978 46,841,956

Collatz Trajectory (93 steps to reach 1)

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

46,841,956 23,420,978 11,710,489 35,131,468 17,565,734 8,782,867 26,348,602 13,174,301 39,522,904 19,761,452 9,880,726 4,940,363 14,821,090 7,410,545 22,231,636 11,115,818 5,557,909 16,673,728 8,336,864 4,168,432 2,084,216 1,042,108 521,054 260,527 781,582 390,791 1,172,374 586,187 1,758,562 879,281 2,637,844 1,318,922 659,461 1,978,384 989,192 494,596 247,298 123,649 370,948 185,474 92,737 278,212 139,106 69,553 208,660 104,330 52,165 156,496 78,248 39,124 19,562 9,781 29,344 14,672 7,336 3,668 1,834 917 2,752 1,376

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