λ
Integer Codex

4,455,962

2 × 72 × 41 × 1109
Deficient Even Composite

For 4,455,962, the 24 positive divisors have a total of 7,972,020. Removing 4,455,962 leaves 3,516,058, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7^2 × 41 × 1109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,972,020
Proper Divisor Sum 3,516,058
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4455959 ← → #4455967

Radix Representation

Decimal 4455962
Binary 10000111111111000011010 (23 bits)
Octal 0o20777032
Hexadecimal 0x43FE1A

Divisor Catalog (24)

1 2 7 14 41 49 82 98 287 574 1,109 2,009 2,218 4,018 7,763 15,526 45,469 54,341 90,938 108,682 318,283 636,566 2,227,981 4,455,962

Collatz Trajectory (87 steps to reach 1)

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

4,455,962 2,227,981 6,683,944 3,341,972 1,670,986 835,493 2,506,480 1,253,240 626,620 313,310 156,655 469,966 234,983 704,950 352,475 1,057,426 528,713 1,586,140 793,070 396,535 1,189,606 594,803 1,784,410 892,205 2,676,616 1,338,308 669,154 334,577 1,003,732 501,866 250,933 752,800 376,400 188,200 94,100 47,050 23,525 70,576 35,288 17,644 8,822 4,411 13,234 6,617 19,852 9,926 4,963 14,890 7,445 22,336 11,168 5,584 2,792 1,396 698 349 1,048 524 262 131

More profiles

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