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Atlas › Integer Profiles › Node 23,015,750

23,015,750

2 × 53 × 43 × 2141
Deficient Even Composite

23,015,750 factors as 2 × 5^3 × 43 × 2141. Its 32 positive divisors give a proper-divisor sum of 21,092,314, so this integer is deficient. The Collatz stopping time is 247 steps.

Prime Factor Structure

Factorization String 2 × 5^3 × 43 × 2141
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 44,108,064
Proper Divisor Sum 21,092,314
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #23015749 ← → #23015753

Radix Representation

Decimal 23015750
Binary 1010111110011000101000110 (25 bits)
Octal 0o127630506
Hexadecimal 0x15F3146

Divisor Catalog (32)

1 2 5 10 25 43 50 86 125 215 250 430 1,075 2,141 2,150 4,282 5,375 10,705 10,750 21,410 53,525 92,063 107,050 184,126 267,625 460,315 535,250 920,630 2,301,575 4,603,150 11,507,875 23,015,750

Collatz Trajectory (247 steps to reach 1)

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

23,015,750 11,507,875 34,523,626 17,261,813 51,785,440 25,892,720 12,946,360 6,473,180 3,236,590 1,618,295 4,854,886 2,427,443 7,282,330 3,641,165 10,923,496 5,461,748 2,730,874 1,365,437 4,096,312 2,048,156 1,024,078 512,039 1,536,118 768,059 2,304,178 1,152,089 3,456,268 1,728,134 864,067 2,592,202 1,296,101 3,888,304 1,944,152 972,076 486,038 243,019 729,058 364,529 1,093,588 546,794 273,397 820,192 410,096 205,048 102,524 51,262 25,631 76,894 38,447 115,342 57,671 173,014 86,507 259,522 129,761 389,284 194,642 97,321 291,964 145,982

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