λ
Integer Codex

832,196

22 × 208049
Deficient Even Composite

For 832,196, the 6 positive divisors have a total of 1,456,350. Removing 832,196 leaves 624,154, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 208049
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,456,350
Proper Divisor Sum 624,154
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #832189 ← → #832211

Radix Representation

Decimal 832196
Binary 11001011001011000100 (20 bits)
Octal 0o3131304
Hexadecimal 0xCB2C4

Divisor Catalog (6)

1 2 4 208,049 416,098 832,196

Collatz Trajectory (281 steps to reach 1)

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

832,196 416,098 208,049 624,148 312,074 156,037 468,112 234,056 117,028 58,514 29,257 87,772 43,886 21,943 65,830 32,915 98,746 49,373 148,120 74,060 37,030 18,515 55,546 27,773 83,320 41,660 20,830 10,415 31,246 15,623 46,870 23,435 70,306 35,153 105,460 52,730 26,365 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315 168,946 84,473 253,420 126,710 63,355 190,066

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