λ
Integer Codex

1,627,807

1627807
Deficient Odd Prime

For 1,627,807, the 2 positive divisors have a total of 1,627,808. Removing 1,627,807 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 1627807
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,627,808
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1627793 ← → #1627819

Radix Representation

Decimal 1627807
Binary 110001101011010011111 (21 bits)
Octal 0o6153237
Hexadecimal 0x18D69F

Divisor Catalog (2)

Collatz Trajectory (176 steps to reach 1)

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

1,627,807 4,883,422 2,441,711 7,325,134 3,662,567 10,987,702 5,493,851 16,481,554 8,240,777 24,722,332 12,361,166 6,180,583 18,541,750 9,270,875 27,812,626 13,906,313 41,718,940 20,859,470 10,429,735 31,289,206 15,644,603 46,933,810 23,466,905 70,400,716 35,200,358 17,600,179 52,800,538 26,400,269 79,200,808 39,600,404 19,800,202 9,900,101 29,700,304 14,850,152 7,425,076 3,712,538 1,856,269 5,568,808 2,784,404 1,392,202 696,101 2,088,304 1,044,152 522,076 261,038 130,519 391,558 195,779 587,338 293,669 881,008 440,504 220,252 110,126 55,063 165,190 82,595 247,786 123,893 371,680

More profiles

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