3,970,916

2² × 101 × 9829

3,970,916 factors as 2^2 × 101 × 9829. Its 12 positive divisors give a proper-divisor sum of 3,047,704, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 101 × 9829

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,018,620

Proper Divisor Sum 3,047,704

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3970903 ← → #3970949

Radix Representation

Decimal	3970916
Binary	1111001001011101100100 (22 bits)
Octal	0o17113544
Hexadecimal	0x3C9764

Divisor Catalog (12)

1 2 4 101 202 404 9,829 19,658 39,316 992,729 1,985,458 3,970,916

Collatz Trajectory (123 steps to reach 1)

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

3,970,916 1,985,458 992,729 2,978,188 1,489,094 744,547 2,233,642 1,116,821 3,350,464 1,675,232 837,616 418,808 209,404 104,702 52,351 157,054 78,527 235,582 117,791 353,374 176,687 530,062 265,031 795,094 397,547 1,192,642 596,321 1,788,964 894,482 447,241 1,341,724 670,862 335,431 1,006,294 503,147 1,509,442 754,721 2,264,164 1,132,082 566,041 1,698,124 849,062 424,531 1,273,594 636,797 1,910,392 955,196 477,598 238,799 716,398 358,199 1,074,598 537,299 1,611,898 805,949 2,417,848 1,208,924 604,462 302,231 906,694

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