λ
Integer Codex

1,637,093

1637093
Deficient Odd Prime

For 1,637,093, the 2 positive divisors have a total of 1,637,094. Removing 1,637,093 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 1637093
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,637,094
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1637087 ← → #1637147

Radix Representation

Decimal 1637093
Binary 110001111101011100101 (21 bits)
Octal 0o6175345
Hexadecimal 0x18FAE5

Divisor Catalog (2)

Collatz Trajectory (176 steps to reach 1)

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

1,637,093 4,911,280 2,455,640 1,227,820 613,910 306,955 920,866 460,433 1,381,300 690,650 345,325 1,035,976 517,988 258,994 129,497 388,492 194,246 97,123 291,370 145,685 437,056 218,528 109,264 54,632 27,316 13,658 6,829 20,488 10,244 5,122 2,561 7,684 3,842 1,921 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290

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