λ
Harmonic Matrix

9,424,830

2 × 3 × 5 × 314161
Abundant Even Composite

9,424,830 has digital root 3. The neighboring primes are 9424829 and 9424847; its proper-divisor sum differs from the starting integer by 3,770,004.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 314161
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 22,619,664
Proper Divisor Sum 13,194,834
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9424829 ← → #9424847

Radix Representation

Decimal 9424830
Binary 100011111100111110111110 (24 bits)
Octal 0o43747676
Hexadecimal 0x8FCFBE

Divisor Catalog (16)

1 2 3 5 6 10 15 30 314,161 628,322 942,483 1,570,805 1,884,966 3,141,610 4,712,415 9,424,830

Collatz Trajectory (132 steps to reach 1)

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

9,424,830 4,712,415 14,137,246 7,068,623 21,205,870 10,602,935 31,808,806 15,904,403 47,713,210 23,856,605 71,569,816 35,784,908 17,892,454 8,946,227 26,838,682 13,419,341 40,258,024 20,129,012 10,064,506 5,032,253 15,096,760 7,548,380 3,774,190 1,887,095 5,661,286 2,830,643 8,491,930 4,245,965 12,737,896 6,368,948 3,184,474 1,592,237 4,776,712 2,388,356 1,194,178 597,089 1,791,268 895,634 447,817 1,343,452 671,726 335,863 1,007,590 503,795 1,511,386 755,693 2,267,080 1,133,540 566,770 283,385 850,156 425,078 212,539 637,618 318,809 956,428 478,214 239,107 717,322 358,661

More profiles

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