λ
Sigma Notebook

8,602,950

2 × 3 × 52 × 83 × 691
Abundant Even Composite

8,602,950 is even and not a perfect square. Its factorization is 2 × 3 × 5^2 × 83 × 691 and its 48 divisors sum to 21,623,616.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 83 × 691
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,623,616
Proper Divisor Sum 13,020,666
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8602949 ← → #8602961

Radix Representation

Decimal 8602950
Binary 100000110100010101000110 (24 bits)
Octal 0o40642506
Hexadecimal 0x834546

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 50 75 83 150 166 249 415 498 691 830 1,245 1,382 2,073 2,075 2,490 3,455 4,146 4,150 6,225 6,910 10,365 12,450 17,275 20,730 34,550 51,825 57,353 103,650 114,706 172,059 286,765 344,118 573,530 860,295 1,433,825 1,720,590 2,867,650 4,301,475 8,602,950

Collatz Trajectory (168 steps to reach 1)

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

8,602,950 4,301,475 12,904,426 6,452,213 19,356,640 9,678,320 4,839,160 2,419,580 1,209,790 604,895 1,814,686 907,343 2,722,030 1,361,015 4,083,046 2,041,523 6,124,570 3,062,285 9,186,856 4,593,428 2,296,714 1,148,357 3,445,072 1,722,536 861,268 430,634 215,317 645,952 322,976 161,488 80,744 40,372 20,186 10,093 30,280 15,140 7,570 3,785 11,356 5,678 2,839 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253

More profiles

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