λ
Integer Codex

1,183,735

5 × 7 × 31 × 1091
Deficient Odd Composite

For 1,183,735, the 16 positive divisors have a total of 1,677,312. Removing 1,183,735 leaves 493,577, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 7 × 31 × 1091
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,677,312
Proper Divisor Sum 493,577
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1183733 ← → #1183739

Radix Representation

Decimal 1183735
Binary 100100000111111110111 (21 bits)
Octal 0o4407767
Hexadecimal 0x120FF7

Divisor Catalog (16)

1 5 7 31 35 155 217 1,085 1,091 5,455 7,637 33,821 38,185 169,105 236,747 1,183,735

Collatz Trajectory (121 steps to reach 1)

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

1,183,735 3,551,206 1,775,603 5,326,810 2,663,405 7,990,216 3,995,108 1,997,554 998,777 2,996,332 1,498,166 749,083 2,247,250 1,123,625 3,370,876 1,685,438 842,719 2,528,158 1,264,079 3,792,238 1,896,119 5,688,358 2,844,179 8,532,538 4,266,269 12,798,808 6,399,404 3,199,702 1,599,851 4,799,554 2,399,777 7,199,332 3,599,666 1,799,833 5,399,500 2,699,750 1,349,875 4,049,626 2,024,813 6,074,440 3,037,220 1,518,610 759,305 2,277,916 1,138,958 569,479 1,708,438 854,219 2,562,658 1,281,329 3,843,988 1,921,994 960,997 2,882,992 1,441,496 720,748 360,374 180,187 540,562 270,281

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