λ
Sigma Notebook

8,613,435

3 × 5 × 29 × 19801
Deficient Odd Composite

8,613,435 is odd and not a perfect square. Its factorization is 3 × 5 × 29 × 19801 and its 16 divisors sum to 14,257,440.

Prime Factor Structure

Factorization String 3 × 5 × 29 × 19801
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,257,440
Proper Divisor Sum 5,644,005
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8613427 ← → #8613439

Radix Representation

Decimal 8613435
Binary 100000110110111000111011 (24 bits)
Octal 0o40667073
Hexadecimal 0x836E3B

Divisor Catalog (16)

1 3 5 15 29 87 145 435 19,801 59,403 99,005 297,015 574,229 1,722,687 2,871,145 8,613,435

Collatz Trajectory (212 steps to reach 1)

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

8,613,435 25,840,306 12,920,153 38,760,460 19,380,230 9,690,115 29,070,346 14,535,173 43,605,520 21,802,760 10,901,380 5,450,690 2,725,345 8,176,036 4,088,018 2,044,009 6,132,028 3,066,014 1,533,007 4,599,022 2,299,511 6,898,534 3,449,267 10,347,802 5,173,901 15,521,704 7,760,852 3,880,426 1,940,213 5,820,640 2,910,320 1,455,160 727,580 363,790 181,895 545,686 272,843 818,530 409,265 1,227,796 613,898 306,949 920,848 460,424 230,212 115,106 57,553 172,660 86,330 43,165 129,496 64,748 32,374 16,187 48,562 24,281 72,844 36,422 18,211 54,634

More profiles

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