λ
Integer Codex

608,153

7 × 13 × 41 × 163
Deficient Odd Composite

For 608,153, the 16 positive divisors have a total of 771,456. Removing 608,153 leaves 163,303, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 13 × 41 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 771,456
Proper Divisor Sum 163,303
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #608147 ← → #608161

Radix Representation

Decimal 608153
Binary 10010100011110011001 (20 bits)
Octal 0o2243631
Hexadecimal 0x94799

Divisor Catalog (16)

1 7 13 41 91 163 287 533 1,141 2,119 3,731 6,683 14,833 46,781 86,879 608,153

Collatz Trajectory (159 steps to reach 1)

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

608,153 1,824,460 912,230 456,115 1,368,346 684,173 2,052,520 1,026,260 513,130 256,565 769,696 384,848 192,424 96,212 48,106 24,053 72,160 36,080 18,040 9,020 4,510 2,255 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646

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