λ
Integer Codex

152,709

3 × 109 × 467
Deficient Odd Composite

For 152,709, the 8 positive divisors have a total of 205,920. Removing 152,709 leaves 53,211, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 109 × 467
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 205,920
Proper Divisor Sum 53,211
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #152681 ← → #152717

Radix Representation

Decimal 152709
Binary 100101010010000101 (18 bits)
Octal 0o452205
Hexadecimal 0x25485

Divisor Catalog (8)

1 3 109 327 467 1,401 50,903 152,709

Collatz Trajectory (82 steps to reach 1)

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

152,709 458,128 229,064 114,532 57,266 28,633 85,900 42,950 21,475 64,426 32,213 96,640 48,320 24,160 12,080 6,040 3,020 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976

More profiles

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