46,769,723

7 × 11 × 13 × 46723

46,769,723 factors as 7 × 11 × 13 × 46723. Its 16 positive divisors give a proper-divisor sum of 16,027,333, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 7 × 11 × 13 × 46723

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 62,797,056

Proper Divisor Sum 16,027,333

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #46769719 ← → #46769729

Radix Representation

Decimal	46769723
Binary	10110010011010011000111011 (26 bits)
Octal	0o262323073
Hexadecimal	0x2C9A63B

Divisor Catalog (16)

1 7 11 13 77 91 143 1,001 46,723 327,061 513,953 607,399 3,597,671 4,251,793 6,681,389 46,769,723

Collatz Trajectory (217 steps to reach 1)

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

46,769,723 140,309,170 70,154,585 210,463,756 105,231,878 52,615,939 157,847,818 78,923,909 236,771,728 118,385,864 59,192,932 29,596,466 14,798,233 44,394,700 22,197,350 11,098,675 33,296,026 16,648,013 49,944,040 24,972,020 12,486,010 6,243,005 18,729,016 9,364,508 4,682,254 2,341,127 7,023,382 3,511,691 10,535,074 5,267,537 15,802,612 7,901,306 3,950,653 11,851,960 5,925,980 2,962,990 1,481,495 4,444,486 2,222,243 6,666,730 3,333,365 10,000,096 5,000,048 2,500,024 1,250,012 625,006 312,503 937,510 468,755 1,406,266 703,133 2,109,400 1,054,700 527,350 263,675 791,026 395,513 1,186,540 593,270 296,635

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