714,258

2 × 3⁴ × 4409

714,258 factors as 2 × 3^4 × 4409. Its 20 positive divisors give a proper-divisor sum of 886,572, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 4409

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,600,830

Proper Divisor Sum 886,572

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #714257 ← → #714283

Radix Representation

Decimal	714258
Binary	10101110011000010010 (20 bits)
Octal	0o2563022
Hexadecimal	0xAE612

Divisor Catalog (20)

Collatz Trajectory (123 steps to reach 1)

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

714,258 357,129 1,071,388 535,694 267,847 803,542 401,771 1,205,314 602,657 1,807,972 903,986 451,993 1,355,980 677,990 338,995 1,016,986 508,493 1,525,480 762,740 381,370 190,685 572,056 286,028 143,014 71,507 214,522 107,261 321,784 160,892 80,446 40,223 120,670 60,335 181,006 90,503 271,510 135,755 407,266 203,633 610,900 305,450 152,725 458,176 229,088 114,544 57,272 28,636 14,318 7,159 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531

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