λ
Integer Codex

1,617,187

11 × 13 × 43 × 263
Deficient Odd Composite

For 1,617,187, the 16 positive divisors have a total of 1,951,488. Removing 1,617,187 leaves 334,301, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 13 × 43 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,951,488
Proper Divisor Sum 334,301
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1617149 ← → #1617211

Radix Representation

Decimal 1617187
Binary 110001010110100100011 (21 bits)
Octal 0o6126443
Hexadecimal 0x18AD23

Divisor Catalog (16)

1 11 13 43 143 263 473 559 2,893 3,419 6,149 11,309 37,609 124,399 147,017 1,617,187

Collatz Trajectory (70 steps to reach 1)

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

1,617,187 4,851,562 2,425,781 7,277,344 3,638,672 1,819,336 909,668 454,834 227,417 682,252 341,126 170,563 511,690 255,845 767,536 383,768 191,884 95,942 47,971 143,914 71,957 215,872 107,936 53,968 26,984 13,492 6,746 3,373 10,120 5,060 2,530 1,265 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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