7,182,980

2² × 5 × 7 × 51307

7,182,980 factors as 2^2 × 5 × 7 × 51307. Its 24 positive divisors give a proper-divisor sum of 10,056,508, so this integer is abundant. The Collatz stopping time is 297 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 51307

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,239,488

Proper Divisor Sum 10,056,508

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7182971 ← → #7182997

Radix Representation

Decimal	7182980
Binary	11011011001101010000100 (23 bits)
Octal	0o33315204
Hexadecimal	0x6D9A84

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 51,307 102,614 205,228 256,535 359,149 513,070 718,298 1,026,140 1,436,596 1,795,745 3,591,490 7,182,980

Collatz Trajectory (297 steps to reach 1)

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

7,182,980 3,591,490 1,795,745 5,387,236 2,693,618 1,346,809 4,040,428 2,020,214 1,010,107 3,030,322 1,515,161 4,545,484 2,272,742 1,136,371 3,409,114 1,704,557 5,113,672 2,556,836 1,278,418 639,209 1,917,628 958,814 479,407 1,438,222 719,111 2,157,334 1,078,667 3,236,002 1,618,001 4,854,004 2,427,002 1,213,501 3,640,504 1,820,252 910,126 455,063 1,365,190 682,595 2,047,786 1,023,893 3,071,680 1,535,840 767,920 383,960 191,980 95,990 47,995 143,986 71,993 215,980 107,990 53,995 161,986 80,993 242,980 121,490 60,745 182,236 91,118 45,559

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