6,430,764

2² × 3 × 31 × 59 × 293

6,430,764 has the prime decomposition 2^2 × 3 × 31 × 59 × 293. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 59 × 293

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,805,440

Proper Divisor Sum 9,374,676

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6430763 ← → #6430769

Radix Representation

Decimal	6430764
Binary	11000100010000000101100 (23 bits)
Octal	0o30420054
Hexadecimal	0x62202C

Divisor Catalog (48)

1 2 3 4 6 12 31 59 62 93 118 124 177 186 236 293 354 372 586 708 879 1,172 1,758 1,829 3,516 3,658 5,487 7,316 9,083 10,974 17,287 18,166 21,948 27,249 34,574 36,332 51,861 54,498 69,148 103,722 108,996 207,444 535,897 1,071,794 1,607,691 2,143,588 3,215,382 6,430,764

Collatz Trajectory (165 steps to reach 1)

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

6,430,764 3,215,382 1,607,691 4,823,074 2,411,537 7,234,612 3,617,306 1,808,653 5,425,960 2,712,980 1,356,490 678,245 2,034,736 1,017,368 508,684 254,342 127,171 381,514 190,757 572,272 286,136 143,068 71,534 35,767 107,302 53,651 160,954 80,477 241,432 120,716 60,358 30,179 90,538 45,269 135,808 67,904 33,952 16,976 8,488 4,244 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190

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