3,106,616

2³ × 257 × 1511

3,106,616 factors as 2^3 × 257 × 1511. Its 16 positive divisors give a proper-divisor sum of 2,744,824, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^3 × 257 × 1511

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,851,440

Proper Divisor Sum 2,744,824

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3106601 ← → #3106637

Radix Representation

Decimal	3106616
Binary	1011110110011100111000 (22 bits)
Octal	0o13663470
Hexadecimal	0x2F6738

Divisor Catalog (16)

1 2 4 8 257 514 1,028 1,511 2,056 3,022 6,044 12,088 388,327 776,654 1,553,308 3,106,616

Collatz Trajectory (182 steps to reach 1)

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

3,106,616 1,553,308 776,654 388,327 1,164,982 582,491 1,747,474 873,737 2,621,212 1,310,606 655,303 1,965,910 982,955 2,948,866 1,474,433 4,423,300 2,211,650 1,105,825 3,317,476 1,658,738 829,369 2,488,108 1,244,054 622,027 1,866,082 933,041 2,799,124 1,399,562 699,781 2,099,344 1,049,672 524,836 262,418 131,209 393,628 196,814 98,407 295,222 147,611 442,834 221,417 664,252 332,126 166,063 498,190 249,095 747,286 373,643 1,120,930 560,465 1,681,396 840,698 420,349 1,261,048 630,524 315,262 157,631 472,894 236,447 709,342

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