6,960,636

2² × 3² × 239 × 809

6,960,636 has the prime decomposition 2^2 × 3^2 × 239 × 809. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 239 × 809

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 17,690,400

Proper Divisor Sum 10,729,764

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6960587 ← → #6960673

Radix Representation

Decimal	6960636
Binary	11010100011010111111100 (23 bits)
Octal	0o32432774
Hexadecimal	0x6A35FC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 239 478 717 809 956 1,434 1,618 2,151 2,427 2,868 3,236 4,302 4,854 7,281 8,604 9,708 14,562 29,124 193,351 386,702 580,053 773,404 1,160,106 1,740,159 2,320,212 3,480,318 6,960,636

Collatz Trajectory (178 steps to reach 1)

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

6,960,636 3,480,318 1,740,159 5,220,478 2,610,239 7,830,718 3,915,359 11,746,078 5,873,039 17,619,118 8,809,559 26,428,678 13,214,339 39,643,018 19,821,509 59,464,528 29,732,264 14,866,132 7,433,066 3,716,533 11,149,600 5,574,800 2,787,400 1,393,700 696,850 348,425 1,045,276 522,638 261,319 783,958 391,979 1,175,938 587,969 1,763,908 881,954 440,977 1,322,932 661,466 330,733 992,200 496,100 248,050 124,025 372,076 186,038 93,019 279,058 139,529 418,588 209,294 104,647 313,942 156,971 470,914 235,457 706,372 353,186 176,593 529,780 264,890

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