713,276

2² × 23 × 7753

713,276 factors as 2^2 × 23 × 7753. Its 12 positive divisors give a proper-divisor sum of 589,396, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 7753

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,302,672

Proper Divisor Sum 589,396

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #713267 ← → #713281

Radix Representation

Decimal	713276
Binary	10101110001000111100 (20 bits)
Octal	0o2561074
Hexadecimal	0xAE23C

Divisor Catalog (12)

1 2 4 23 46 92 7,753 15,506 31,012 178,319 356,638 713,276

Collatz Trajectory (105 steps to reach 1)

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

713,276 356,638 178,319 534,958 267,479 802,438 401,219 1,203,658 601,829 1,805,488 902,744 451,372 225,686 112,843 338,530 169,265 507,796 253,898 126,949 380,848 190,424 95,212 47,606 23,803 71,410 35,705 107,116 53,558 26,779 80,338 40,169 120,508 60,254 30,127 90,382 45,191 135,574 67,787 203,362 101,681 305,044 152,522 76,261 228,784 114,392 57,196 28,598 14,299 42,898 21,449 64,348 32,174 16,087 48,262 24,131 72,394 36,197 108,592 54,296 27,148

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