λ
Integer Codex

454,016

27 × 3547
Deficient Even Composite

For 454,016, the 16 positive divisors have a total of 904,740. Removing 454,016 leaves 450,724, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^7 × 3547
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 904,740
Proper Divisor Sum 450,724
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #454009 ← → #454021

Radix Representation

Decimal 454016
Binary 1101110110110000000 (19 bits)
Octal 0o1566600
Hexadecimal 0x6ED80

Divisor Catalog (16)

1 2 4 8 16 32 64 128 3,547 7,094 14,188 28,376 56,752 113,504 227,008 454,016

Collatz Trajectory (63 steps to reach 1)

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

454,016 227,008 113,504 56,752 28,376 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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