λ
Integer Codex

2,696,251

17 × 199 × 797
Deficient Odd Composite

For 2,696,251, the 8 positive divisors have a total of 2,872,800. Removing 2,696,251 leaves 176,549, which gives the deficient classification.

Prime Factor Structure

Factorization String 17 × 199 × 797
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,872,800
Proper Divisor Sum 176,549
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2696209 ← → #2696257

Radix Representation

Decimal 2696251
Binary 1010010010010000111011 (22 bits)
Octal 0o12222073
Hexadecimal 0x29243B

Divisor Catalog (8)

1 17 199 797 3,383 13,549 158,603 2,696,251

Collatz Trajectory (86 steps to reach 1)

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

2,696,251 8,088,754 4,044,377 12,133,132 6,066,566 3,033,283 9,099,850 4,549,925 13,649,776 6,824,888 3,412,444 1,706,222 853,111 2,559,334 1,279,667 3,839,002 1,919,501 5,758,504 2,879,252 1,439,626 719,813 2,159,440 1,079,720 539,860 269,930 134,965 404,896 202,448 101,224 50,612 25,306 12,653 37,960 18,980 9,490 4,745 14,236 7,118 3,559 10,678 5,339 16,018 8,009 24,028 12,014 6,007 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852

More profiles

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