600,760

2³ × 5 × 23 × 653

Starting at 600,760, the Collatz iteration reaches 1 after 115 steps. The first transition is 300380; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 23 × 653

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,412,640

Proper Divisor Sum 811,880

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #600751 ← → #600791

Radix Representation

Decimal	600760
Binary	10010010101010111000 (20 bits)
Octal	0o2225270
Hexadecimal	0x92AB8

Divisor Catalog (32)

1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 653 920 1,306 2,612 3,265 5,224 6,530 13,060 15,019 26,120 30,038 60,076 75,095 120,152 150,190 300,380 600,760

Collatz Trajectory (115 steps to reach 1)

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

600,760 300,380 150,190 75,095 225,286 112,643 337,930 168,965 506,896 253,448 126,724 63,362 31,681 95,044 47,522 23,761 71,284 35,642 17,821 53,464 26,732 13,366 6,683 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638

← Previous Integer #600,759 Browse Full Index Next Integer #600,761 →