9,767,724

2² × 3 × 17 × 47881

9,767,724 has digital root 6. The neighboring primes are 9767713 and 9767731; its proper-divisor sum differs from the starting integer by 4,597,080.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 47881

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 24,132,528

Proper Divisor Sum 14,364,804

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9767713 ← → #9767731

Radix Representation

Decimal	9767724
Binary	100101010000101100101100 (24 bits)
Octal	0o45205454
Hexadecimal	0x950B2C

Divisor Catalog (24)

1 2 3 4 6 12 17 34 51 68 102 204 47,881 95,762 143,643 191,524 287,286 574,572 813,977 1,627,954 2,441,931 3,255,908 4,883,862 9,767,724

Collatz Trajectory (62 steps to reach 1)

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

9,767,724 4,883,862 2,441,931 7,325,794 3,662,897 10,988,692 5,494,346 2,747,173 8,241,520 4,120,760 2,060,380 1,030,190 515,095 1,545,286 772,643 2,317,930 1,158,965 3,476,896 1,738,448 869,224 434,612 217,306 108,653 325,960 162,980 81,490 40,745 122,236 61,118 30,559 91,678 45,839 137,518 68,759 206,278 103,139 309,418 154,709 464,128 232,064 116,032 58,016 29,008 14,504 7,252 3,626 1,813 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8

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