λ
Sigma Notebook

8,584,095

3 × 5 × 13 × 44021
Deficient Odd Composite

8,584,095 is odd and not a perfect square. Its factorization is 3 × 5 × 13 × 44021 and its 16 divisors sum to 14,791,392.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 44021
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,791,392
Proper Divisor Sum 6,207,297
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8584073 ← → #8584097

Radix Representation

Decimal 8584095
Binary 100000101111101110011111 (24 bits)
Octal 0o40575637
Hexadecimal 0x82FB9F

Divisor Catalog (16)

1 3 5 13 15 39 65 195 44,021 132,063 220,105 572,273 660,315 1,716,819 2,861,365 8,584,095

Collatz Trajectory (212 steps to reach 1)

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

8,584,095 25,752,286 12,876,143 38,628,430 19,314,215 57,942,646 28,971,323 86,913,970 43,456,985 130,370,956 65,185,478 32,592,739 97,778,218 48,889,109 146,667,328 73,333,664 36,666,832 18,333,416 9,166,708 4,583,354 2,291,677 6,875,032 3,437,516 1,718,758 859,379 2,578,138 1,289,069 3,867,208 1,933,604 966,802 483,401 1,450,204 725,102 362,551 1,087,654 543,827 1,631,482 815,741 2,447,224 1,223,612 611,806 305,903 917,710 458,855 1,376,566 688,283 2,064,850 1,032,425 3,097,276 1,548,638 774,319 2,322,958 1,161,479 3,484,438 1,742,219 5,226,658 2,613,329 7,839,988 3,919,994 1,959,997

More profiles

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