43,722,014

2 × 7² × 659 × 677

43,722,014 factors as 2 × 7^2 × 659 × 677. Its 24 positive divisors give a proper-divisor sum of 32,797,066, so this integer is deficient. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 659 × 677

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 76,519,080

Proper Divisor Sum 32,797,066

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #43721999 ← → #43722023

Radix Representation

Decimal	43722014
Binary	10100110110010010100011110 (26 bits)
Octal	0o246622436
Hexadecimal	0x29B251E

Divisor Catalog (24)

Collatz Trajectory (222 steps to reach 1)

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

43,722,014 21,861,007 65,583,022 32,791,511 98,374,534 49,187,267 147,561,802 73,780,901 221,342,704 110,671,352 55,335,676 27,667,838 13,833,919 41,501,758 20,750,879 62,252,638 31,126,319 93,378,958 46,689,479 140,068,438 70,034,219 210,102,658 105,051,329 315,153,988 157,576,994 78,788,497 236,365,492 118,182,746 59,091,373 177,274,120 88,637,060 44,318,530 22,159,265 66,477,796 33,238,898 16,619,449 49,858,348 24,929,174 12,464,587 37,393,762 18,696,881 56,090,644 28,045,322 14,022,661 42,067,984 21,033,992 10,516,996 5,258,498 2,629,249 7,887,748 3,943,874 1,971,937 5,915,812 2,957,906 1,478,953 4,436,860 2,218,430 1,109,215 3,327,646 1,663,823

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