23,745

3 × 5 × 1583

Starting at 23,745, the Collatz iteration reaches 1 after 100 steps. The first transition is 71236; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 1583

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 38,016

Proper Divisor Sum 14,271

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #23743 ← → #23747

Radix Representation

Decimal	23745
Binary	101110011000001 (15 bits)
Octal	0o56301
Hexadecimal	0x5CC1

Divisor Catalog (8)

1 3 5 15 1,583 4,749 7,915 23,745

Collatz Trajectory (100 steps to reach 1)

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

23,745 71,236 35,618 17,809 53,428 26,714 13,357 40,072 20,036 10,018 5,009 15,028 7,514 3,757 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 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

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