727,476

2² × 3 × 60623

727,476 has digital root 6. The neighboring primes are 727471 and 727483; its proper-divisor sum differs from the starting integer by 242,520.

Prime Factor Structure

Factorization String 2^2 × 3 × 60623

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,697,472

Proper Divisor Sum 969,996

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #727471 ← → #727483

Radix Representation

Decimal	727476
Binary	10110001100110110100 (20 bits)
Octal	0o2614664
Hexadecimal	0xB19B4

Divisor Catalog (12)

1 2 3 4 6 12 60,623 121,246 181,869 242,492 363,738 727,476

Collatz Trajectory (87 steps to reach 1)

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

727,476 363,738 181,869 545,608 272,804 136,402 68,201 204,604 102,302 51,151 153,454 76,727 230,182 115,091 345,274 172,637 517,912 258,956 129,478 64,739 194,218 97,109 291,328 145,664 72,832 36,416 18,208 9,104 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130

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