λ
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Atlas › Integer Profiles › Node 4,959,232

4,959,232

210 × 29 × 167
Abundant Even Composite

4,959,232 factors as 2^10 × 29 × 167. Its 44 positive divisors give a proper-divisor sum of 5,357,648, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^10 × 29 × 167
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 44
Divisor Sum (σ) 10,316,880
Proper Divisor Sum 5,357,648
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4959197 ← → #4959277

Radix Representation

Decimal 4959232
Binary 10010111010110000000000 (23 bits)
Octal 0o22726000
Hexadecimal 0x4BAC00

Divisor Catalog (44)

1 2 4 8 16 29 32 58 64 116 128 167 232 256 334 464 512 668 928 1,024 1,336 1,856 2,672 3,712 4,843 5,344 7,424 9,686 10,688 14,848 19,372 21,376 29,696 38,744 42,752 77,488 85,504 154,976 171,008 309,952 619,904 1,239,808 2,479,616 4,959,232

Collatz Trajectory (175 steps to reach 1)

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

4,959,232 2,479,616 1,239,808 619,904 309,952 154,976 77,488 38,744 19,372 9,686 4,843 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146

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