964,540

2² × 5 × 29 × 1663

964,540 factors as 2^2 × 5 × 29 × 1663. Its 24 positive divisors give a proper-divisor sum of 1,132,100, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 29 × 1663

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,096,640

Proper Divisor Sum 1,132,100

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #964531 ← → #964559

Radix Representation

Decimal	964540
Binary	11101011011110111100 (20 bits)
Octal	0o3533674
Hexadecimal	0xEB7BC

Divisor Catalog (24)

Collatz Trajectory (183 steps to reach 1)

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

964,540 482,270 241,135 723,406 361,703 1,085,110 542,555 1,627,666 813,833 2,441,500 1,220,750 610,375 1,831,126 915,563 2,746,690 1,373,345 4,120,036 2,060,018 1,030,009 3,090,028 1,545,014 772,507 2,317,522 1,158,761 3,476,284 1,738,142 869,071 2,607,214 1,303,607 3,910,822 1,955,411 5,866,234 2,933,117 8,799,352 4,399,676 2,199,838 1,099,919 3,299,758 1,649,879 4,949,638 2,474,819 7,424,458 3,712,229 11,136,688 5,568,344 2,784,172 1,392,086 696,043 2,088,130 1,044,065 3,132,196 1,566,098 783,049 2,349,148 1,174,574 587,287 1,761,862 880,931 2,642,794 1,321,397

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