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Atlas › Integer Profiles › Node 2,371,616

2,371,616

25 × 13 × 5701
Abundant Even Composite

2,371,616 factors as 2^5 × 13 × 5701. Its 24 positive divisors give a proper-divisor sum of 2,657,548, so this integer is abundant. The Collatz stopping time is 55 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 5701
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,029,164
Proper Divisor Sum 2,657,548
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2371609 ← → #2371627

Radix Representation

Decimal 2371616
Binary 1001000011000000100000 (22 bits)
Octal 0o11030040
Hexadecimal 0x243020

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 5,701 11,402 22,804 45,608 74,113 91,216 148,226 182,432 296,452 592,904 1,185,808 2,371,616

Collatz Trajectory (55 steps to reach 1)

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

2,371,616 1,185,808 592,904 296,452 148,226 74,113 222,340 111,170 55,585 166,756 83,378 41,689 125,068 62,534 31,267 93,802 46,901 140,704 70,352 35,176 17,588 8,794 4,397 13,192 6,596 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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