30,724

2² × 7681

Starting at 30,724, the Collatz iteration reaches 1 after 178 steps. The first transition is 15362; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7681

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 53,774

Proper Divisor Sum 23,050

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #30713 ← → #30727

Radix Representation

Decimal	30724
Binary	111100000000100 (15 bits)
Octal	0o74004
Hexadecimal	0x7804

Divisor Catalog (6)

1 2 4 7,681 15,362 30,724

Collatz Trajectory (178 steps to reach 1)

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

30,724 15,362 7,681 23,044 11,522 5,761 17,284 8,642 4,321 12,964 6,482 3,241 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174

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