3,980,076

2² × 3 × 29 × 11437

3,980,076 factors as 2^2 × 3 × 29 × 11437. Its 24 positive divisors give a proper-divisor sum of 5,627,844, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 11437

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,607,920

Proper Divisor Sum 5,627,844

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3980071 ← → #3980087

Radix Representation

Decimal	3980076
Binary	1111001011101100101100 (22 bits)
Octal	0o17135454
Hexadecimal	0x3CBB2C

Divisor Catalog (24)

Collatz Trajectory (167 steps to reach 1)

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

3,980,076 1,990,038 995,019 2,985,058 1,492,529 4,477,588 2,238,794 1,119,397 3,358,192 1,679,096 839,548 419,774 209,887 629,662 314,831 944,494 472,247 1,416,742 708,371 2,125,114 1,062,557 3,187,672 1,593,836 796,918 398,459 1,195,378 597,689 1,793,068 896,534 448,267 1,344,802 672,401 2,017,204 1,008,602 504,301 1,512,904 756,452 378,226 189,113 567,340 283,670 141,835 425,506 212,753 638,260 319,130 159,565 478,696 239,348 119,674 59,837 179,512 89,756 44,878 22,439 67,318 33,659 100,978 50,489 151,468

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