3,133,772

2² × 47 × 79 × 211

3,133,772 factors as 2^2 × 47 × 79 × 211. Its 24 positive divisors give a proper-divisor sum of 2,564,788, so this integer is deficient. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2^2 × 47 × 79 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,698,560

Proper Divisor Sum 2,564,788

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3133751 ← → #3133777

Radix Representation

Decimal	3133772
Binary	1011111101000101001100 (22 bits)
Octal	0o13750514
Hexadecimal	0x2FD14C

Divisor Catalog (24)

Collatz Trajectory (195 steps to reach 1)

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

3,133,772 1,566,886 783,443 2,350,330 1,175,165 3,525,496 1,762,748 881,374 440,687 1,322,062 661,031 1,983,094 991,547 2,974,642 1,487,321 4,461,964 2,230,982 1,115,491 3,346,474 1,673,237 5,019,712 2,509,856 1,254,928 627,464 313,732 156,866 78,433 235,300 117,650 58,825 176,476 88,238 44,119 132,358 66,179 198,538 99,269 297,808 148,904 74,452 37,226 18,613 55,840 27,920 13,960 6,980 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553

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