42,616,312

2³ × 29 × 183691

42,616,312 factors as 2^3 × 29 × 183691. Its 16 positive divisors give a proper-divisor sum of 40,045,088, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^3 × 29 × 183691

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 82,661,400

Proper Divisor Sum 40,045,088

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #42616307 ← → #42616333

Radix Representation

Decimal	42616312
Binary	10100010100100010111111000 (26 bits)
Octal	0o242442770
Hexadecimal	0x28A45F8

Divisor Catalog (16)

1 2 4 8 29 58 116 232 183,691 367,382 734,764 1,469,528 5,327,039 10,654,078 21,308,156 42,616,312

Collatz Trajectory (235 steps to reach 1)

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

42,616,312 21,308,156 10,654,078 5,327,039 15,981,118 7,990,559 23,971,678 11,985,839 35,957,518 17,978,759 53,936,278 26,968,139 80,904,418 40,452,209 121,356,628 60,678,314 30,339,157 91,017,472 45,508,736 22,754,368 11,377,184 5,688,592 2,844,296 1,422,148 711,074 355,537 1,066,612 533,306 266,653 799,960 399,980 199,990 99,995 299,986 149,993 449,980 224,990 112,495 337,486 168,743 506,230 253,115 759,346 379,673 1,139,020 569,510 284,755 854,266 427,133 1,281,400 640,700 320,350 160,175 480,526 240,263 720,790 360,395 1,081,186 540,593 1,621,780

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