10,007,494

2 × 7 × 29 × 157²

10,007,494 factors as 2 × 7 × 29 × 157^2. Its 24 positive divisors give a proper-divisor sum of 7,853,546, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2 × 7 × 29 × 157^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,861,040

Proper Divisor Sum 7,853,546

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #10007489 ← → #10007533

Radix Representation

Decimal	10007494
Binary	100110001011001111000110 (24 bits)
Octal	0o46131706
Hexadecimal	0x98B3C6

Divisor Catalog (24)

Collatz Trajectory (176 steps to reach 1)

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

10,007,494 5,003,747 15,011,242 7,505,621 22,516,864 11,258,432 5,629,216 2,814,608 1,407,304 703,652 351,826 175,913 527,740 263,870 131,935 395,806 197,903 593,710 296,855 890,566 445,283 1,335,850 667,925 2,003,776 1,001,888 500,944 250,472 125,236 62,618 31,309 93,928 46,964 23,482 11,741 35,224 17,612 8,806 4,403 13,210 6,605 19,816 9,908 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768

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