λ
Prime Ledger

1,109,627

29 × 83 × 461
Deficient Odd Composite

1,109,627 has the prime decomposition 29 × 83 × 461. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 29 × 83 × 461
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,164,240
Proper Divisor Sum 54,613
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1109611 ← → #1109629

Radix Representation

Decimal 1109627
Binary 100001110111001111011 (21 bits)
Octal 0o4167173
Hexadecimal 0x10EE7B

Divisor Catalog (8)

1 29 83 461 2,407 13,369 38,263 1,109,627

Collatz Trajectory (284 steps to reach 1)

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

1,109,627 3,328,882 1,664,441 4,993,324 2,496,662 1,248,331 3,744,994 1,872,497 5,617,492 2,808,746 1,404,373 4,213,120 2,106,560 1,053,280 526,640 263,320 131,660 65,830 32,915 98,746 49,373 148,120 74,060 37,030 18,515 55,546 27,773 83,320 41,660 20,830 10,415 31,246 15,623 46,870 23,435 70,306 35,153 105,460 52,730 26,365 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315 168,946 84,473 253,420

More profiles

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