λ
Integer Codex

1,150,115

5 × 23 × 73 × 137
Deficient Odd Composite

For 1,150,115, the 16 positive divisors have a total of 1,470,528. Removing 1,150,115 leaves 320,413, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 23 × 73 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,470,528
Proper Divisor Sum 320,413
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #1150103 ← → #1150117

Radix Representation

Decimal 1150115
Binary 100011000110010100011 (21 bits)
Octal 0o4306243
Hexadecimal 0x118CA3

Divisor Catalog (16)

1 5 23 73 115 137 365 685 1,679 3,151 8,395 10,001 15,755 50,005 230,023 1,150,115

Collatz Trajectory (147 steps to reach 1)

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

1,150,115 3,450,346 1,725,173 5,175,520 2,587,760 1,293,880 646,940 323,470 161,735 485,206 242,603 727,810 363,905 1,091,716 545,858 272,929 818,788 409,394 204,697 614,092 307,046 153,523 460,570 230,285 690,856 345,428 172,714 86,357 259,072 129,536 64,768 32,384 16,192 8,096 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206

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