λ
Integer Codex

1,128,611

11 × 37 × 47 × 59
Deficient Odd Composite

For 1,128,611, the 16 positive divisors have a total of 1,313,280. Removing 1,128,611 leaves 184,669, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 37 × 47 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,313,280
Proper Divisor Sum 184,669
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1128601 ← → #1128623

Radix Representation

Decimal 1128611
Binary 100010011100010100011 (21 bits)
Octal 0o4234243
Hexadecimal 0x1138A3

Divisor Catalog (16)

1 11 37 47 59 407 517 649 1,739 2,183 2,773 19,129 24,013 30,503 102,601 1,128,611

Collatz Trajectory (134 steps to reach 1)

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

1,128,611 3,385,834 1,692,917 5,078,752 2,539,376 1,269,688 634,844 317,422 158,711 476,134 238,067 714,202 357,101 1,071,304 535,652 267,826 133,913 401,740 200,870 100,435 301,306 150,653 451,960 225,980 112,990 56,495 169,486 84,743 254,230 127,115 381,346 190,673 572,020 286,010 143,005 429,016 214,508 107,254 53,627 160,882 80,441 241,324 120,662 60,331 180,994 90,497 271,492 135,746 67,873 203,620 101,810 50,905 152,716 76,358 38,179 114,538 57,269 171,808 85,904 42,952

More profiles

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