λ
Harmonic Matrix

9,724,034

2 × 17 × 286001
Deficient Even Composite

9,724,034 has digital root 2. The neighboring primes are 9724021 and 9724061; its proper-divisor sum differs from the starting integer by -4,003,960.

Prime Factor Structure

Factorization String 2 × 17 × 286001
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,444,108
Proper Divisor Sum 5,720,074
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9724021 ← → #9724061

Radix Representation

Decimal 9724034
Binary 100101000110000010000010 (24 bits)
Octal 0o45060202
Hexadecimal 0x946082

Divisor Catalog (8)

1 2 17 34 286,001 572,002 4,862,017 9,724,034

Collatz Trajectory (101 steps to reach 1)

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

9,724,034 4,862,017 14,586,052 7,293,026 3,646,513 10,939,540 5,469,770 2,734,885 8,204,656 4,102,328 2,051,164 1,025,582 512,791 1,538,374 769,187 2,307,562 1,153,781 3,461,344 1,730,672 865,336 432,668 216,334 108,167 324,502 162,251 486,754 243,377 730,132 365,066 182,533 547,600 273,800 136,900 68,450 34,225 102,676 51,338 25,669 77,008 38,504 19,252 9,626 4,813 14,440 7,220 3,610 1,805 5,416 2,708 1,354 677 2,032 1,016 508 254 127 382 191 574 287

More profiles

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