6,436,956

2² × 3 × 29 × 53 × 349

6,436,956 is even and not a perfect square. Its factorization is 2^2 × 3 × 29 × 53 × 349 and its 48 divisors sum to 15,876,000.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 53 × 349

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,876,000

Proper Divisor Sum 9,439,044

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6436939 ← → #6436973

Radix Representation

Decimal	6436956
Binary	11000100011100001011100 (23 bits)
Octal	0o30434134
Hexadecimal	0x62385C

Divisor Catalog (48)

1 2 3 4 6 12 29 53 58 87 106 116 159 174 212 318 348 349 636 698 1,047 1,396 1,537 2,094 3,074 4,188 4,611 6,148 9,222 10,121 18,444 18,497 20,242 30,363 36,994 40,484 55,491 60,726 73,988 110,982 121,452 221,964 536,413 1,072,826 1,609,239 2,145,652 3,218,478 6,436,956

Collatz Trajectory (209 steps to reach 1)

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

6,436,956 3,218,478 1,609,239 4,827,718 2,413,859 7,241,578 3,620,789 10,862,368 5,431,184 2,715,592 1,357,796 678,898 339,449 1,018,348 509,174 254,587 763,762 381,881 1,145,644 572,822 286,411 859,234 429,617 1,288,852 644,426 322,213 966,640 483,320 241,660 120,830 60,415 181,246 90,623 271,870 135,935 407,806 203,903 611,710 305,855 917,566 458,783 1,376,350 688,175 2,064,526 1,032,263 3,096,790 1,548,395 4,645,186 2,322,593 6,967,780 3,483,890 1,741,945 5,225,836 2,612,918 1,306,459 3,919,378 1,959,689 5,879,068 2,939,534 1,469,767

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