23,736,723

3 × 769 × 10289

23,736,723 factors as 3 × 769 × 10289. Its 8 positive divisors give a proper-divisor sum of 7,956,477, so this integer is deficient. The Collatz stopping time is 322 steps.

Prime Factor Structure

Factorization String 3 × 769 × 10289

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 31,693,200

Proper Divisor Sum 7,956,477

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #23736701 ← → #23736733

Radix Representation

Decimal	23736723
Binary	1011010100011000110010011 (25 bits)
Octal	0o132430623
Hexadecimal	0x16A3193

Divisor Catalog (8)

1 3 769 2,307 10,289 30,867 7,912,241 23,736,723

Collatz Trajectory (322 steps to reach 1)

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

23,736,723 71,210,170 35,605,085 106,815,256 53,407,628 26,703,814 13,351,907 40,055,722 20,027,861 60,083,584 30,041,792 15,020,896 7,510,448 3,755,224 1,877,612 938,806 469,403 1,408,210 704,105 2,112,316 1,056,158 528,079 1,584,238 792,119 2,376,358 1,188,179 3,564,538 1,782,269 5,346,808 2,673,404 1,336,702 668,351 2,005,054 1,002,527 3,007,582 1,503,791 4,511,374 2,255,687 6,767,062 3,383,531 10,150,594 5,075,297 15,225,892 7,612,946 3,806,473 11,419,420 5,709,710 2,854,855 8,564,566 4,282,283 12,846,850 6,423,425 19,270,276 9,635,138 4,817,569 14,452,708 7,226,354 3,613,177 10,839,532 5,419,766

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