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Atlas › Integer Profiles › Node 4,858,752

4,858,752

27 × 3 × 12653
Abundant Even Composite

4,858,752 factors as 2^7 × 3 × 12653. Its 32 positive divisors give a proper-divisor sum of 8,048,328, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^7 × 3 × 12653
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,907,080
Proper Divisor Sum 8,048,328
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4858751 ← → #4858781

Radix Representation

Decimal 4858752
Binary 10010100010001110000000 (23 bits)
Octal 0o22421600
Hexadecimal 0x4A2380

Divisor Catalog (32)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 12,653 25,306 37,959 50,612 75,918 101,224 151,836 202,448 303,672 404,896 607,344 809,792 1,214,688 1,619,584 2,429,376 4,858,752

Collatz Trajectory (113 steps to reach 1)

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

4,858,752 2,429,376 1,214,688 607,344 303,672 151,836 75,918 37,959 113,878 56,939 170,818 85,409 256,228 128,114 64,057 192,172 96,086 48,043 144,130 72,065 216,196 108,098 54,049 162,148 81,074 40,537 121,612 60,806 30,403 91,210 45,605 136,816 68,408 34,204 17,102 8,551 25,654 12,827 38,482 19,241 57,724 28,862 14,431 43,294 21,647 64,942 32,471 97,414 48,707 146,122 73,061 219,184 109,592 54,796 27,398 13,699 41,098 20,549 61,648 30,824

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