716,375

5³ × 11 × 521

716,375 factors as 5^3 × 11 × 521. Its 16 positive divisors give a proper-divisor sum of 260,809, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 5^3 × 11 × 521

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 977,184

Proper Divisor Sum 260,809

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #716351 ← → #716383

Radix Representation

Decimal	716375
Binary	10101110111001010111 (20 bits)
Octal	0o2567127
Hexadecimal	0xAEE57

Divisor Catalog (16)

1 5 11 25 55 125 275 521 1,375 2,605 5,731 13,025 28,655 65,125 143,275 716,375

Collatz Trajectory (74 steps to reach 1)

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

716,375 2,149,126 1,074,563 3,223,690 1,611,845 4,835,536 2,417,768 1,208,884 604,442 302,221 906,664 453,332 226,666 113,333 340,000 170,000 85,000 42,500 21,250 10,625 31,876 15,938 7,969 23,908 11,954 5,977 17,932 8,966 4,483 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22

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