λ
Sigma Notebook

1,287,265

5 × 7 × 36779
Deficient Odd Composite

1,287,265 is odd and not a perfect square. Its factorization is 5 × 7 × 36779 and its 8 divisors sum to 1,765,440.

Prime Factor Structure

Factorization String 5 × 7 × 36779
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,765,440
Proper Divisor Sum 478,175
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1287239 ← → #1287289

Radix Representation

Decimal 1287265
Binary 100111010010001100001 (21 bits)
Octal 0o4722141
Hexadecimal 0x13A461

Divisor Catalog (8)

1 5 7 35 36,779 183,895 257,453 1,287,265

Collatz Trajectory (111 steps to reach 1)

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

1,287,265 3,861,796 1,930,898 965,449 2,896,348 1,448,174 724,087 2,172,262 1,086,131 3,258,394 1,629,197 4,887,592 2,443,796 1,221,898 610,949 1,832,848 916,424 458,212 229,106 114,553 343,660 171,830 85,915 257,746 128,873 386,620 193,310 96,655 289,966 144,983 434,950 217,475 652,426 326,213 978,640 489,320 244,660 122,330 61,165 183,496 91,748 45,874 22,937 68,812 34,406 17,203 51,610 25,805 77,416 38,708 19,354 9,677 29,032 14,516 7,258 3,629 10,888 5,444 2,722 1,361

More profiles

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