965,653

13 × 59 × 1259

965,653 factors as 13 × 59 × 1259. Its 8 positive divisors give a proper-divisor sum of 92,747, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 13 × 59 × 1259

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,058,400

Proper Divisor Sum 92,747

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #965647 ← → #965659

Radix Representation

Decimal	965653
Binary	11101011110000010101 (20 bits)
Octal	0o3536025
Hexadecimal	0xEBC15

Divisor Catalog (8)

1 13 59 767 1,259 16,367 74,281 965,653

Collatz Trajectory (152 steps to reach 1)

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

965,653 2,896,960 1,448,480 724,240 362,120 181,060 90,530 45,265 135,796 67,898 33,949 101,848 50,924 25,462 12,731 38,194 19,097 57,292 28,646 14,323 42,970 21,485 64,456 32,228 16,114 8,057 24,172 12,086 6,043 18,130 9,065 27,196 13,598 6,799 20,398 10,199 30,598 15,299 45,898 22,949 68,848 34,424 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772

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