λ
Prime Ledger

1,409,229

32 × 31 × 5051
Deficient Odd Composite

1,409,229 has the prime decomposition 3^2 × 31 × 5051. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 31 × 5051
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,101,632
Proper Divisor Sum 692,403
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1409227 ← → #1409231

Radix Representation

Decimal 1409229
Binary 101011000000011001101 (21 bits)
Octal 0o5300315
Hexadecimal 0x1580CD

Divisor Catalog (12)

1 3 9 31 93 279 5,051 15,153 45,459 156,581 469,743 1,409,229

Collatz Trajectory (106 steps to reach 1)

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

1,409,229 4,227,688 2,113,844 1,056,922 528,461 1,585,384 792,692 396,346 198,173 594,520 297,260 148,630 74,315 222,946 111,473 334,420 167,210 83,605 250,816 125,408 62,704 31,352 15,676 7,838 3,919 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674

More profiles

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