4,129,765

5 × 23 × 35911

4,129,765 factors as 5 × 23 × 35911. Its 8 positive divisors give a proper-divisor sum of 1,041,563, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 5 × 23 × 35911

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,171,328

Proper Divisor Sum 1,041,563

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4129753 ← → #4129771

Radix Representation

Decimal	4129765
Binary	1111110000001111100101 (22 bits)
Octal	0o17601745
Hexadecimal	0x3F03E5

Divisor Catalog (8)

1 5 23 115 35,911 179,555 825,953 4,129,765

Collatz Trajectory (198 steps to reach 1)

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

4,129,765 12,389,296 6,194,648 3,097,324 1,548,662 774,331 2,322,994 1,161,497 3,484,492 1,742,246 871,123 2,613,370 1,306,685 3,920,056 1,960,028 980,014 490,007 1,470,022 735,011 2,205,034 1,102,517 3,307,552 1,653,776 826,888 413,444 206,722 103,361 310,084 155,042 77,521 232,564 116,282 58,141 174,424 87,212 43,606 21,803 65,410 32,705 98,116 49,058 24,529 73,588 36,794 18,397 55,192 27,596 13,798 6,899 20,698 10,349 31,048 15,524 7,762 3,881 11,644 5,822 2,911 8,734 4,367

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