λ
Sigma Notebook

4,880,610

2 × 32 × 5 × 7 × 61 × 127
Abundant Even Composite

4,880,610 is even and not a perfect square. Its factorization is 2 × 3^2 × 5 × 7 × 61 × 127 and its 96 divisors sum to 14,856,192.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 61 × 127
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 14,856,192
Proper Divisor Sum 9,975,582
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4880593 ← → #4880639

Radix Representation

Decimal 4880610
Binary 10010100111100011100010 (23 bits)
Octal 0o22474342
Hexadecimal 0x4A78E2

Divisor Catalog (60 of 96)

1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 61 63 70 90 105 122 126 127 183 210 254 305 315 366 381 427 549 610 630 635 762 854 889 915 1,098 1,143 1,270 1,281 1,778 1,830 1,905 2,135 2,286 2,562 2,667 2,745 3,810 3,843 4,270 4,445 5,334 5,490 5,715 6,405

Collatz Trajectory (61 steps to reach 1)

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

4,880,610 2,440,305 7,320,916 3,660,458 1,830,229 5,490,688 2,745,344 1,372,672 686,336 343,168 171,584 85,792 42,896 21,448 10,724 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4

More profiles

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