λ
Integer Codex

3,403,724

22 × 23 × 36997
Deficient Even Composite

For 3,403,724, the 12 positive divisors have a total of 6,215,664. Removing 3,403,724 leaves 2,811,940, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 23 × 36997
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,215,664
Proper Divisor Sum 2,811,940
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3403711 ← → #3403733

Radix Representation

Decimal 3403724
Binary 1100111110111111001100 (22 bits)
Octal 0o14767714
Hexadecimal 0x33EFCC

Divisor Catalog (12)

1 2 4 23 46 92 36,997 73,994 147,988 850,931 1,701,862 3,403,724

Collatz Trajectory (84 steps to reach 1)

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

3,403,724 1,701,862 850,931 2,552,794 1,276,397 3,829,192 1,914,596 957,298 478,649 1,435,948 717,974 358,987 1,076,962 538,481 1,615,444 807,722 403,861 1,211,584 605,792 302,896 151,448 75,724 37,862 18,931 56,794 28,397 85,192 42,596 21,298 10,649 31,948 15,974 7,987 23,962 11,981 35,944 17,972 8,986 4,493 13,480 6,740 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101

More profiles

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