λ
Sigma Notebook

4,331,440

24 × 5 × 29 × 1867
Abundant Even Composite

4,331,440 is even and not a perfect square. Its factorization is 2^4 × 5 × 29 × 1867 and its 40 divisors sum to 10,423,440.

Prime Factor Structure

Factorization String 2^4 × 5 × 29 × 1867
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,423,440
Proper Divisor Sum 6,092,000
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4331417 ← → #4331441

Radix Representation

Decimal 4331440
Binary 10000100001011110110000 (23 bits)
Octal 0o20413660
Hexadecimal 0x4217B0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1,160 1,867 2,320 3,734 7,468 9,335 14,936 18,670 29,872 37,340 54,143 74,680 108,286 149,360 216,572 270,715 433,144 541,430 866,288 1,082,860 2,165,720 4,331,440

Collatz Trajectory (154 steps to reach 1)

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

4,331,440 2,165,720 1,082,860 541,430 270,715 812,146 406,073 1,218,220 609,110 304,555 913,666 456,833 1,370,500 685,250 342,625 1,027,876 513,938 256,969 770,908 385,454 192,727 578,182 289,091 867,274 433,637 1,300,912 650,456 325,228 162,614 81,307 243,922 121,961 365,884 182,942 91,471 274,414 137,207 411,622 205,811 617,434 308,717 926,152 463,076 231,538 115,769 347,308 173,654 86,827 260,482 130,241 390,724 195,362 97,681 293,044 146,522 73,261 219,784 109,892 54,946 27,473

More profiles

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