9,729,398

2 × 7 × 694957

9,729,398 factors as 2 × 7 × 694957. Its 8 positive divisors give a proper-divisor sum of 6,949,594, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 7 × 694957

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 16,678,992

Proper Divisor Sum 6,949,594

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #9729397 ← → #9729427

Radix Representation

Decimal	9729398
Binary	100101000111010101110110 (24 bits)
Octal	0o45072566
Hexadecimal	0x947576

Divisor Catalog (8)

1 2 7 14 694,957 1,389,914 4,864,699 9,729,398

Collatz Trajectory (114 steps to reach 1)

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

9,729,398 4,864,699 14,594,098 7,297,049 21,891,148 10,945,574 5,472,787 16,418,362 8,209,181 24,627,544 12,313,772 6,156,886 3,078,443 9,235,330 4,617,665 13,852,996 6,926,498 3,463,249 10,389,748 5,194,874 2,597,437 7,792,312 3,896,156 1,948,078 974,039 2,922,118 1,461,059 4,383,178 2,191,589 6,574,768 3,287,384 1,643,692 821,846 410,923 1,232,770 616,385 1,849,156 924,578 462,289 1,386,868 693,434 346,717 1,040,152 520,076 260,038 130,019 390,058 195,029 585,088 292,544 146,272 73,136 36,568 18,284 9,142 4,571 13,714 6,857 20,572 10,286

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