3,970,421

7² × 13 × 23 × 271

3,970,421 is odd and not a perfect square. Its factorization is 7^2 × 13 × 23 × 271 and its 24 divisors sum to 5,209,344.

Prime Factor Structure

Factorization String 7^2 × 13 × 23 × 271

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,209,344

Proper Divisor Sum 1,238,923

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3970409 ← → #3970423

Radix Representation

Decimal	3970421
Binary	1111001001010101110101 (22 bits)
Octal	0o17112565
Hexadecimal	0x3C9575

Divisor Catalog (24)

1 7 13 23 49 91 161 271 299 637 1,127 1,897 2,093 3,523 6,233 13,279 14,651 24,661 43,631 81,029 172,627 305,417 567,203 3,970,421

Collatz Trajectory (154 steps to reach 1)

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

3,970,421 11,911,264 5,955,632 2,977,816 1,488,908 744,454 372,227 1,116,682 558,341 1,675,024 837,512 418,756 209,378 104,689 314,068 157,034 78,517 235,552 117,776 58,888 29,444 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121

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