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7,477,665

3 × 5 × 13 × 31 × 1237
Deficient Odd Composite

7,477,665 factors as 3 × 5 × 13 × 31 × 1237. Its 32 positive divisors give a proper-divisor sum of 5,833,311, so this integer is deficient. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 31 × 1237
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,310,976
Proper Divisor Sum 5,833,311
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7477661 ← → #7477667

Radix Representation

Decimal 7477665
Binary 11100100001100110100001 (23 bits)
Octal 0o34414641
Hexadecimal 0x7219A1

Divisor Catalog (32)

1 3 5 13 15 31 39 65 93 155 195 403 465 1,209 1,237 2,015 3,711 6,045 6,185 16,081 18,555 38,347 48,243 80,405 115,041 191,735 241,215 498,511 575,205 1,495,533 2,492,555 7,477,665

Collatz Trajectory (248 steps to reach 1)

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

7,477,665 22,432,996 11,216,498 5,608,249 16,824,748 8,412,374 4,206,187 12,618,562 6,309,281 18,927,844 9,463,922 4,731,961 14,195,884 7,097,942 3,548,971 10,646,914 5,323,457 15,970,372 7,985,186 3,992,593 11,977,780 5,988,890 2,994,445 8,983,336 4,491,668 2,245,834 1,122,917 3,368,752 1,684,376 842,188 421,094 210,547 631,642 315,821 947,464 473,732 236,866 118,433 355,300 177,650 88,825 266,476 133,238 66,619 199,858 99,929 299,788 149,894 74,947 224,842 112,421 337,264 168,632 84,316 42,158 21,079 63,238 31,619 94,858 47,429

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