3,415,518

2 × 3² × 31 × 6121

3,415,518 factors as 2 × 3^2 × 31 × 6121. Its 24 positive divisors give a proper-divisor sum of 4,224,738, so this integer is abundant. The Collatz stopping time is 239 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 31 × 6121

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,640,256

Proper Divisor Sum 4,224,738

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3415481 ← → #3415541

Radix Representation

Decimal	3415518
Binary	1101000001110111011110 (22 bits)
Octal	0o15016736
Hexadecimal	0x341DDE

Divisor Catalog (24)

Collatz Trajectory (239 steps to reach 1)

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

3,415,518 1,707,759 5,123,278 2,561,639 7,684,918 3,842,459 11,527,378 5,763,689 17,291,068 8,645,534 4,322,767 12,968,302 6,484,151 19,452,454 9,726,227 29,178,682 14,589,341 43,768,024 21,884,012 10,942,006 5,471,003 16,413,010 8,206,505 24,619,516 12,309,758 6,154,879 18,464,638 9,232,319 27,696,958 13,848,479 41,545,438 20,772,719 62,318,158 31,159,079 93,477,238 46,738,619 140,215,858 70,107,929 210,323,788 105,161,894 52,580,947 157,742,842 78,871,421 236,614,264 118,307,132 59,153,566 29,576,783 88,730,350 44,365,175 133,095,526 66,547,763 199,643,290 99,821,645 299,464,936 149,732,468 74,866,234 37,433,117 112,299,352 56,149,676 28,074,838

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