46,861,472

2⁵ × 7 × 209203

46,861,472 factors as 2^5 × 7 × 209203. Its 24 positive divisors give a proper-divisor sum of 58,577,344, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 209203

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 105,438,816

Proper Divisor Sum 58,577,344

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #46861471 ← → #46861523

Radix Representation

Decimal	46861472
Binary	10110010110000110010100000 (26 bits)
Octal	0o262606240
Hexadecimal	0x2CB0CA0

Divisor Catalog (24)

Collatz Trajectory (173 steps to reach 1)

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

46,861,472 23,430,736 11,715,368 5,857,684 2,928,842 1,464,421 4,393,264 2,196,632 1,098,316 549,158 274,579 823,738 411,869 1,235,608 617,804 308,902 154,451 463,354 231,677 695,032 347,516 173,758 86,879 260,638 130,319 390,958 195,479 586,438 293,219 879,658 439,829 1,319,488 659,744 329,872 164,936 82,468 41,234 20,617 61,852 30,926 15,463 46,390 23,195 69,586 34,793 104,380 52,190 26,095 78,286 39,143 117,430 58,715 176,146 88,073 264,220 132,110 66,055 198,166 99,083 297,250

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