λ
Sigma Notebook

1,599,117

3 × 13 × 131 × 313
Deficient Odd Composite

1,599,117 is odd and not a perfect square. Its factorization is 3 × 13 × 131 × 313 and its 16 divisors sum to 2,321,088.

Prime Factor Structure

Factorization String 3 × 13 × 131 × 313
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,321,088
Proper Divisor Sum 721,971
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1599109 ← → #1599119

Radix Representation

Decimal 1599117
Binary 110000110011010001101 (21 bits)
Octal 0o6063215
Hexadecimal 0x18668D

Divisor Catalog (16)

1 3 13 39 131 313 393 939 1,703 4,069 5,109 12,207 41,003 123,009 533,039 1,599,117

Collatz Trajectory (207 steps to reach 1)

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

1,599,117 4,797,352 2,398,676 1,199,338 599,669 1,799,008 899,504 449,752 224,876 112,438 56,219 168,658 84,329 252,988 126,494 63,247 189,742 94,871 284,614 142,307 426,922 213,461 640,384 320,192 160,096 80,048 40,024 20,012 10,006 5,003 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151

More profiles

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