λ
Integer Codex

3,400,777

157 × 21661
Deficient Odd Composite

For 3,400,777, the 4 positive divisors have a total of 3,422,596. Removing 3,400,777 leaves 21,819, which gives the deficient classification.

Prime Factor Structure

Factorization String 157 × 21661
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,422,596
Proper Divisor Sum 21,819
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3400739 ← → #3400823

Radix Representation

Decimal 3400777
Binary 1100111110010001001001 (22 bits)
Octal 0o14762111
Hexadecimal 0x33E449

Divisor Catalog (4)

1 157 21,661 3,400,777

Collatz Trajectory (128 steps to reach 1)

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

3,400,777 10,202,332 5,101,166 2,550,583 7,651,750 3,825,875 11,477,626 5,738,813 17,216,440 8,608,220 4,304,110 2,152,055 6,456,166 3,228,083 9,684,250 4,842,125 14,526,376 7,263,188 3,631,594 1,815,797 5,447,392 2,723,696 1,361,848 680,924 340,462 170,231 510,694 255,347 766,042 383,021 1,149,064 574,532 287,266 143,633 430,900 215,450 107,725 323,176 161,588 80,794 40,397 121,192 60,596 30,298 15,149 45,448 22,724 11,362 5,681 17,044 8,522 4,261 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598

More profiles

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