727,239

3 × 242413

727,239 factors as 3 × 242413. Its 4 positive divisors give a proper-divisor sum of 242,417, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 3 × 242413

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 969,656

Proper Divisor Sum 242,417

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #727211 ← → #727241

Radix Representation

Decimal	727239
Binary	10110001100011000111 (20 bits)
Octal	0o2614307
Hexadecimal	0xB18C7

Divisor Catalog (4)

1 3 242,413 727,239

Collatz Trajectory (149 steps to reach 1)

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

727,239 2,181,718 1,090,859 3,272,578 1,636,289 4,908,868 2,454,434 1,227,217 3,681,652 1,840,826 920,413 2,761,240 1,380,620 690,310 345,155 1,035,466 517,733 1,553,200 776,600 388,300 194,150 97,075 291,226 145,613 436,840 218,420 109,210 54,605 163,816 81,908 40,954 20,477 61,432 30,716 15,358 7,679 23,038 11,519 34,558 17,279 51,838 25,919 77,758 38,879 116,638 58,319 174,958 87,479 262,438 131,219 393,658 196,829 590,488 295,244 147,622 73,811 221,434 110,717 332,152 166,076

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