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Atlas › Integer Profiles › Node 23,224,929

23,224,929

3 × 7 × 13 × 241 × 353
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 13 × 241 × 353
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 38,379,264
Proper Divisor Sum 15,154,335
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #23224919 ← → #23224933

Radix Representation

Decimal 23224929
Binary 1011000100110001001100001 (25 bits)
Octal 0o130461141
Hexadecimal 0x1626261

Divisor Catalog (32)

1 3 7 13 21 39 91 241 273 353 723 1,059 1,687 2,471 3,133 4,589 5,061 7,413 9,399 13,767 21,931 32,123 65,793 85,073 96,369 255,219 595,511 1,105,949 1,786,533 3,317,847 7,741,643 23,224,929

Collatz Trajectory (278 steps to reach 1)

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

23,224,929 69,674,788 34,837,394 17,418,697 52,256,092 26,128,046 13,064,023 39,192,070 19,596,035 58,788,106 29,394,053 88,182,160 44,091,080 22,045,540 11,022,770 5,511,385 16,534,156 8,267,078 4,133,539 12,400,618 6,200,309 18,600,928 9,300,464 4,650,232 2,325,116 1,162,558 581,279 1,743,838 871,919 2,615,758 1,307,879 3,923,638 1,961,819 5,885,458 2,942,729 8,828,188 4,414,094 2,207,047 6,621,142 3,310,571 9,931,714 4,965,857 14,897,572 7,448,786 3,724,393 11,173,180 5,586,590 2,793,295 8,379,886 4,189,943 12,569,830 6,284,915 18,854,746 9,427,373 28,282,120 14,141,060 7,070,530 3,535,265 10,605,796 5,302,898

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