620,971

13 × 37 × 1291

620,971 factors as 13 × 37 × 1291. Its 8 positive divisors give a proper-divisor sum of 66,373, so this integer is deficient. The Collatz stopping time is 270 steps.

Prime Factor Structure

Factorization String 13 × 37 × 1291

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 687,344

Proper Divisor Sum 66,373

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #620957 ← → #620981

Radix Representation

Decimal	620971
Binary	10010111100110101011 (20 bits)
Octal	0o2274653
Hexadecimal	0x979AB

Divisor Catalog (8)

1 13 37 481 1,291 16,783 47,767 620,971

Collatz Trajectory (270 steps to reach 1)

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

620,971 1,862,914 931,457 2,794,372 1,397,186 698,593 2,095,780 1,047,890 523,945 1,571,836 785,918 392,959 1,178,878 589,439 1,768,318 884,159 2,652,478 1,326,239 3,978,718 1,989,359 5,968,078 2,984,039 8,952,118 4,476,059 13,428,178 6,714,089 20,142,268 10,071,134 5,035,567 15,106,702 7,553,351 22,660,054 11,330,027 33,990,082 16,995,041 50,985,124 25,492,562 12,746,281 38,238,844 19,119,422 9,559,711 28,679,134 14,339,567 43,018,702 21,509,351 64,528,054 32,264,027 96,792,082 48,396,041 145,188,124 72,594,062 36,297,031 108,891,094 54,445,547 163,336,642 81,668,321 245,004,964 122,502,482 61,251,241 183,753,724

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