1,000,956

2² × 3 × 11 × 7583

Starting at 1,000,956, the Collatz iteration reaches 1 after 90 steps. The first transition is 500478; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 7583

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,548,224

Proper Divisor Sum 1,547,268

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1000931 ← → #1000969

Radix Representation

Decimal	1000956
Binary	11110100010111111100 (20 bits)
Octal	0o3642774
Hexadecimal	0xF45FC

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 7,583 15,166 22,749 30,332 45,498 83,413 90,996 166,826 250,239 333,652 500,478 1,000,956

Collatz Trajectory (90 steps to reach 1)

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

1,000,956 500,478 250,239 750,718 375,359 1,126,078 563,039 1,689,118 844,559 2,533,678 1,266,839 3,800,518 1,900,259 5,700,778 2,850,389 8,551,168 4,275,584 2,137,792 1,068,896 534,448 267,224 133,612 66,806 33,403 100,210 50,105 150,316 75,158 37,579 112,738 56,369 169,108 84,554 42,277 126,832 63,416 31,708 15,854 7,927 23,782 11,891 35,674 17,837 53,512 26,756 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117 6,352

← Previous Integer #1,000,955 Browse Full Index Next Integer #1,000,957 →