λ
Modular Archive

8,449,407

33 × 312941
Deficient Odd Composite

The decimal integer 8,449,407 is 100000001110110101111111 in binary (24 bits), 40166577 in octal and 80ED7F in hexadecimal. Its digit sum is 36.

Prime Factor Structure

Factorization String 3^3 × 312941
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,517,680
Proper Divisor Sum 4,068,273
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8449387 ← → #8449409

Radix Representation

Decimal 8449407
Binary 100000001110110101111111 (24 bits)
Octal 0o40166577
Hexadecimal 0x80ED7F

Divisor Catalog (8)

1 3 9 27 312,941 938,823 2,816,469 8,449,407

Collatz Trajectory (155 steps to reach 1)

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

8,449,407 25,348,222 12,674,111 38,022,334 19,011,167 57,033,502 28,516,751 85,550,254 42,775,127 128,325,382 64,162,691 192,488,074 96,244,037 288,732,112 144,366,056 72,183,028 36,091,514 18,045,757 54,137,272 27,068,636 13,534,318 6,767,159 20,301,478 10,150,739 30,452,218 15,226,109 45,678,328 22,839,164 11,419,582 5,709,791 17,129,374 8,564,687 25,694,062 12,847,031 38,541,094 19,270,547 57,811,642 28,905,821 86,717,464 43,358,732 21,679,366 10,839,683 32,519,050 16,259,525 48,778,576 24,389,288 12,194,644 6,097,322 3,048,661 9,145,984 4,572,992 2,286,496 1,143,248 571,624 285,812 142,906 71,453 214,360 107,180 53,590

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