λ
Matchaa Zalai

616,915

5 × 13 × 9491
Deficient Odd Composite

616,915 factors as 5 × 13 × 9491. Its 8 positive divisors give a proper-divisor sum of 180,413, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 5 × 13 × 9491
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 797,328
Proper Divisor Sum 180,413
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #616909 ← → #616933

Radix Representation

Decimal 616915
Binary 10010110100111010011 (20 bits)
Octal 0o2264723
Hexadecimal 0x969D3

Divisor Catalog (8)

1 5 13 65 9,491 47,455 123,383 616,915

Collatz Trajectory (172 steps to reach 1)

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

616,915 1,850,746 925,373 2,776,120 1,388,060 694,030 347,015 1,041,046 520,523 1,561,570 780,785 2,342,356 1,171,178 585,589 1,756,768 878,384 439,192 219,596 109,798 54,899 164,698 82,349 247,048 123,524 61,762 30,881 92,644 46,322 23,161 69,484 34,742 17,371 52,114 26,057 78,172 39,086 19,543 58,630 29,315 87,946 43,973 131,920 65,960 32,980 16,490 8,245 24,736 12,368 6,184 3,092 1,546 773 2,320 1,160 580 290 145 436 218 109

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