λ
Sigma Notebook

1,302,081

3 × 112 × 17 × 211
Deficient Odd Composite

1,302,081 is odd and not a perfect square. Its factorization is 3 × 11^2 × 17 × 211 and its 24 divisors sum to 2,030,112.

Prime Factor Structure

Factorization String 3 × 11^2 × 17 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,030,112
Proper Divisor Sum 728,031
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1302079 ← → #1302107

Radix Representation

Decimal 1302081
Binary 100111101111001000001 (21 bits)
Octal 0o4757101
Hexadecimal 0x13DE41

Divisor Catalog (24)

1 3 11 17 33 51 121 187 211 363 561 633 2,057 2,321 3,587 6,171 6,963 10,761 25,531 39,457 76,593 118,371 434,027 1,302,081

Collatz Trajectory (93 steps to reach 1)

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

1,302,081 3,906,244 1,953,122 976,561 2,929,684 1,464,842 732,421 2,197,264 1,098,632 549,316 274,658 137,329 411,988 205,994 102,997 308,992 154,496 77,248 38,624 19,312 9,656 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384

More profiles

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