31,822,084

2² × 7 × 313 × 3631

31,822,084 factors as 2^2 × 7 × 313 × 3631. Its 24 positive divisors give a proper-divisor sum of 32,043,004, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 313 × 3631

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 63,865,088

Proper Divisor Sum 32,043,004

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #31822073 ← → #31822099

Radix Representation

Decimal	31822084
Binary	1111001011001000100000100 (25 bits)
Octal	0o171310404
Hexadecimal	0x1E59104

Divisor Catalog (24)

Collatz Trajectory (188 steps to reach 1)

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

31,822,084 15,911,042 7,955,521 23,866,564 11,933,282 5,966,641 17,899,924 8,949,962 4,474,981 13,424,944 6,712,472 3,356,236 1,678,118 839,059 2,517,178 1,258,589 3,775,768 1,887,884 943,942 471,971 1,415,914 707,957 2,123,872 1,061,936 530,968 265,484 132,742 66,371 199,114 99,557 298,672 149,336 74,668 37,334 18,667 56,002 28,001 84,004 42,002 21,001 63,004 31,502 15,751 47,254 23,627 70,882 35,441 106,324 53,162 26,581 79,744 39,872 19,936 9,968 4,984 2,492 1,246 623 1,870 935

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