27,445,929

3 × 7² × 186707

Prime Factor Structure

Factorization String 3 × 7^2 × 186707

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 42,569,424

Proper Divisor Sum 15,123,495

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #27445927 ← → #27445961

Radix Representation

Decimal	27445929
Binary	1101000101100101010101001 (25 bits)
Octal	0o150545251
Hexadecimal	0x1A2CAA9

Divisor Catalog (12)

1 3 7 21 49 147 186,707 560,121 1,306,949 3,920,847 9,148,643 27,445,929

Collatz Trajectory (193 steps to reach 1)

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

27,445,929 82,337,788 41,168,894 20,584,447 61,753,342 30,876,671 92,630,014 46,315,007 138,945,022 69,472,511 208,417,534 104,208,767 312,626,302 156,313,151 468,939,454 234,469,727 703,409,182 351,704,591 1,055,113,774 527,556,887 1,582,670,662 791,335,331 2,374,005,994 1,187,002,997 3,561,008,992 1,780,504,496 890,252,248 445,126,124 222,563,062 111,281,531 333,844,594 166,922,297 500,766,892 250,383,446 125,191,723 375,575,170 187,787,585 563,362,756 281,681,378 140,840,689 422,522,068 211,261,034 105,630,517 316,891,552 158,445,776 79,222,888 39,611,444 19,805,722 9,902,861 29,708,584 14,854,292 7,427,146 3,713,573 11,140,720 5,570,360 2,785,180 1,392,590 696,295 2,088,886 1,044,443

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