46,302,472

2³ × 251 × 23059

46,302,472 factors as 2^3 × 251 × 23059. Its 16 positive divisors give a proper-divisor sum of 40,864,328, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^3 × 251 × 23059

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 87,166,800

Proper Divisor Sum 40,864,328

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #46302461 ← → #46302523

Radix Representation

Decimal	46302472
Binary	10110000101000010100001000 (26 bits)
Octal	0o260502410
Hexadecimal	0x2C28508

Divisor Catalog (16)

1 2 4 8 251 502 1,004 2,008 23,059 46,118 92,236 184,472 5,787,809 11,575,618 23,151,236 46,302,472

Collatz Trajectory (235 steps to reach 1)

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

46,302,472 23,151,236 11,575,618 5,787,809 17,363,428 8,681,714 4,340,857 13,022,572 6,511,286 3,255,643 9,766,930 4,883,465 14,650,396 7,325,198 3,662,599 10,987,798 5,493,899 16,481,698 8,240,849 24,722,548 12,361,274 6,180,637 18,541,912 9,270,956 4,635,478 2,317,739 6,953,218 3,476,609 10,429,828 5,214,914 2,607,457 7,822,372 3,911,186 1,955,593 5,866,780 2,933,390 1,466,695 4,400,086 2,200,043 6,600,130 3,300,065 9,900,196 4,950,098 2,475,049 7,425,148 3,712,574 1,856,287 5,568,862 2,784,431 8,353,294 4,176,647 12,529,942 6,264,971 18,794,914 9,397,457 28,192,372 14,096,186 7,048,093 21,144,280 10,572,140

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