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Atlas › Integer Profiles › Node 29,232,448

29,232,448

26 × 7 × 23 × 2837
Abundant Even Composite

29,232,448 factors as 2^6 × 7 × 23 × 2837. Its 56 positive divisors give a proper-divisor sum of 39,969,344, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 23 × 2837
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 69,201,792
Proper Divisor Sum 39,969,344
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #29232443 ← → #29232451

Radix Representation

Decimal 29232448
Binary 1101111100000110101000000 (25 bits)
Octal 0o157406500
Hexadecimal 0x1BE0D40

Divisor Catalog (56)

1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1,288 1,472 2,576 2,837 5,152 5,674 10,304 11,348 19,859 22,696 39,718 45,392 65,251 79,436 90,784 130,502 158,872 181,568 261,004 317,744 456,757 522,008 635,488 913,514 1,044,016 1,270,976 1,827,028 2,088,032 3,654,056 4,176,064 7,308,112 14,616,224 29,232,448

Collatz Trajectory (61 steps to reach 1)

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

29,232,448 14,616,224 7,308,112 3,654,056 1,827,028 913,514 456,757 1,370,272 685,136 342,568 171,284 85,642 42,821 128,464 64,232 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4

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