6,167,630

2 × 5 × 7² × 41 × 307

6,167,630 is even and not a perfect square. Its factorization is 2 × 5 × 7^2 × 41 × 307 and its 48 divisors sum to 13,272,336.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 41 × 307

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 13,272,336

Proper Divisor Sum 7,104,706

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #6167627 ← → #6167639

Radix Representation

Decimal	6167630
Binary	10111100001110001001110 (23 bits)
Octal	0o27416116
Hexadecimal	0x5E1C4E

Divisor Catalog (48)

1 2 5 7 10 14 35 41 49 70 82 98 205 245 287 307 410 490 574 614 1,435 1,535 2,009 2,149 2,870 3,070 4,018 4,298 10,045 10,745 12,587 15,043 20,090 21,490 25,174 30,086 62,935 75,215 88,109 125,870 150,430 176,218 440,545 616,763 881,090 1,233,526 3,083,815 6,167,630

Collatz Trajectory (139 steps to reach 1)

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

6,167,630 3,083,815 9,251,446 4,625,723 13,877,170 6,938,585 20,815,756 10,407,878 5,203,939 15,611,818 7,805,909 23,417,728 11,708,864 5,854,432 2,927,216 1,463,608 731,804 365,902 182,951 548,854 274,427 823,282 411,641 1,234,924 617,462 308,731 926,194 463,097 1,389,292 694,646 347,323 1,041,970 520,985 1,562,956 781,478 390,739 1,172,218 586,109 1,758,328 879,164 439,582 219,791 659,374 329,687 989,062 494,531 1,483,594 741,797 2,225,392 1,112,696 556,348 278,174 139,087 417,262 208,631 625,894 312,947 938,842 469,421 1,408,264

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