λ
Sigma Notebook

1,404,351

33 × 13 × 4001
Deficient Odd Composite

1,404,351 is odd and not a perfect square. Its factorization is 3^3 × 13 × 4001 and its 16 divisors sum to 2,241,120.

Prime Factor Structure

Factorization String 3^3 × 13 × 4001
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,241,120
Proper Divisor Sum 836,769
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1404323 ← → #1404367

Radix Representation

Decimal 1404351
Binary 101010110110110111111 (21 bits)
Octal 0o5266677
Hexadecimal 0x156DBF

Divisor Catalog (16)

1 3 9 13 27 39 117 351 4,001 12,003 36,009 52,013 108,027 156,039 468,117 1,404,351

Collatz Trajectory (168 steps to reach 1)

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

1,404,351 4,213,054 2,106,527 6,319,582 3,159,791 9,479,374 4,739,687 14,219,062 7,109,531 21,328,594 10,664,297 31,992,892 15,996,446 7,998,223 23,994,670 11,997,335 35,992,006 17,996,003 53,988,010 26,994,005 80,982,016 40,491,008 20,245,504 10,122,752 5,061,376 2,530,688 1,265,344 632,672 316,336 158,168 79,084 39,542 19,771 59,314 29,657 88,972 44,486 22,243 66,730 33,365 100,096 50,048 25,024 12,512 6,256 3,128 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248

More profiles

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