1,617,931

7³ × 53 × 89

1,617,931 factors as 7^3 × 53 × 89. Its 16 positive divisors give a proper-divisor sum of 326,069, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 7^3 × 53 × 89

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,944,000

Proper Divisor Sum 326,069

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1617929 ← → #1617943

Radix Representation

Decimal	1617931
Binary	110001011000000001011 (21 bits)
Octal	0o6130013
Hexadecimal	0x18B00B

Divisor Catalog (16)

1 7 49 53 89 343 371 623 2,597 4,361 4,717 18,179 30,527 33,019 231,133 1,617,931

Collatz Trajectory (114 steps to reach 1)

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

1,617,931 4,853,794 2,426,897 7,280,692 3,640,346 1,820,173 5,460,520 2,730,260 1,365,130 682,565 2,047,696 1,023,848 511,924 255,962 127,981 383,944 191,972 95,986 47,993 143,980 71,990 35,995 107,986 53,993 161,980 80,990 40,495 121,486 60,743 182,230 91,115 273,346 136,673 410,020 205,010 102,505 307,516 153,758 76,879 230,638 115,319 345,958 172,979 518,938 259,469 778,408 389,204 194,602 97,301 291,904 145,952 72,976 36,488 18,244 9,122 4,561 13,684 6,842 3,421 10,264

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