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Atlas › Integer Profiles › Node 14,775,152

14,775,152

24 × 7 × 29 × 4549
Abundant Even Composite

14,775,152 factors as 2^4 × 7 × 29 × 4549. Its 40 positive divisors give a proper-divisor sum of 19,076,848, so this integer is abundant. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 29 × 4549
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 33,852,000
Proper Divisor Sum 19,076,848
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #14775151 ← → #14775169

Radix Representation

Decimal 14775152
Binary 111000010111001101110000 (24 bits)
Octal 0o70271560
Hexadecimal 0xE17370

Divisor Catalog (40)

1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1,624 3,248 4,549 9,098 18,196 31,843 36,392 63,686 72,784 127,372 131,921 254,744 263,842 509,488 527,684 923,447 1,055,368 1,846,894 2,110,736 3,693,788 7,387,576 14,775,152

Collatz Trajectory (161 steps to reach 1)

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

14,775,152 7,387,576 3,693,788 1,846,894 923,447 2,770,342 1,385,171 4,155,514 2,077,757 6,233,272 3,116,636 1,558,318 779,159 2,337,478 1,168,739 3,506,218 1,753,109 5,259,328 2,629,664 1,314,832 657,416 328,708 164,354 82,177 246,532 123,266 61,633 184,900 92,450 46,225 138,676 69,338 34,669 104,008 52,004 26,002 13,001 39,004 19,502 9,751 29,254 14,627 43,882 21,941 65,824 32,912 16,456 8,228 4,114 2,057 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605

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