λ
Harmonic Matrix

9,729,430

2 × 5 × 972943
Deficient Even Composite

9,729,430 has digital root 7. The neighboring primes are 9729427 and 9729469; its proper-divisor sum differs from the starting integer by -1,945,868.

Prime Factor Structure

Factorization String 2 × 5 × 972943
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 17,512,992
Proper Divisor Sum 7,783,562
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9729427 ← → #9729469

Radix Representation

Decimal 9729430
Binary 100101000111010110010110 (24 bits)
Octal 0o45072626
Hexadecimal 0x947596

Divisor Catalog (8)

1 2 5 10 972,943 1,945,886 4,864,715 9,729,430

Collatz Trajectory (207 steps to reach 1)

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

9,729,430 4,864,715 14,594,146 7,297,073 21,891,220 10,945,610 5,472,805 16,418,416 8,209,208 4,104,604 2,052,302 1,026,151 3,078,454 1,539,227 4,617,682 2,308,841 6,926,524 3,463,262 1,731,631 5,194,894 2,597,447 7,792,342 3,896,171 11,688,514 5,844,257 17,532,772 8,766,386 4,383,193 13,149,580 6,574,790 3,287,395 9,862,186 4,931,093 14,793,280 7,396,640 3,698,320 1,849,160 924,580 462,290 231,145 693,436 346,718 173,359 520,078 260,039 780,118 390,059 1,170,178 585,089 1,755,268 877,634 438,817 1,316,452 658,226 329,113 987,340 493,670 246,835 740,506 370,253

More profiles

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