3,976,407

3² × 61 × 7243

3,976,407 factors as 3^2 × 61 × 7243. Its 12 positive divisors give a proper-divisor sum of 1,862,257, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3^2 × 61 × 7243

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,838,664

Proper Divisor Sum 1,862,257

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3976403 ← → #3976409

Radix Representation

Decimal	3976407
Binary	1111001010110011010111 (22 bits)
Octal	0o17126327
Hexadecimal	0x3CACD7

Divisor Catalog (12)

1 3 9 61 183 549 7,243 21,729 65,187 441,823 1,325,469 3,976,407

Collatz Trajectory (123 steps to reach 1)

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

3,976,407 11,929,222 5,964,611 17,893,834 8,946,917 26,840,752 13,420,376 6,710,188 3,355,094 1,677,547 5,032,642 2,516,321 7,548,964 3,774,482 1,887,241 5,661,724 2,830,862 1,415,431 4,246,294 2,123,147 6,369,442 3,184,721 9,554,164 4,777,082 2,388,541 7,165,624 3,582,812 1,791,406 895,703 2,687,110 1,343,555 4,030,666 2,015,333 6,046,000 3,023,000 1,511,500 755,750 377,875 1,133,626 566,813 1,700,440 850,220 425,110 212,555 637,666 318,833 956,500 478,250 239,125 717,376 358,688 179,344 89,672 44,836 22,418 11,209 33,628 16,814 8,407 25,222

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