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Atlas › Integer Profiles › Node 23,019,596

23,019,596

22 × 23 × 53 × 4721
Deficient Even Composite

23,019,596 factors as 2^2 × 23 × 53 × 4721. Its 24 positive divisors give a proper-divisor sum of 19,818,388, so this integer is deficient. The Collatz stopping time is 247 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 53 × 4721
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 42,837,984
Proper Divisor Sum 19,818,388
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #23019593 ← → #23019611

Radix Representation

Decimal 23019596
Binary 1010111110100000001001100 (25 bits)
Octal 0o127640114
Hexadecimal 0x15F404C

Divisor Catalog (24)

1 2 4 23 46 53 92 106 212 1,219 2,438 4,721 4,876 9,442 18,884 108,583 217,166 250,213 434,332 500,426 1,000,852 5,754,899 11,509,798 23,019,596

Collatz Trajectory (247 steps to reach 1)

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

23,019,596 11,509,798 5,754,899 17,264,698 8,632,349 25,897,048 12,948,524 6,474,262 3,237,131 9,711,394 4,855,697 14,567,092 7,283,546 3,641,773 10,925,320 5,462,660 2,731,330 1,365,665 4,096,996 2,048,498 1,024,249 3,072,748 1,536,374 768,187 2,304,562 1,152,281 3,456,844 1,728,422 864,211 2,592,634 1,296,317 3,888,952 1,944,476 972,238 486,119 1,458,358 729,179 2,187,538 1,093,769 3,281,308 1,640,654 820,327 2,460,982 1,230,491 3,691,474 1,845,737 5,537,212 2,768,606 1,384,303 4,152,910 2,076,455 6,229,366 3,114,683 9,344,050 4,672,025 14,016,076 7,008,038 3,504,019 10,512,058 5,256,029

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