λ
Harmonic Matrix

9,140,970

2 × 3 × 5 × 31 × 9829
Abundant Even Composite

9,140,970 has digital root 3. The neighboring primes are 9140953 and 9140977; its proper-divisor sum differs from the starting integer by 4,366,380.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 31 × 9829
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,648,320
Proper Divisor Sum 13,507,350
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9140953 ← → #9140977

Radix Representation

Decimal 9140970
Binary 100010110111101011101010 (24 bits)
Octal 0o42675352
Hexadecimal 0x8B7AEA

Divisor Catalog (32)

1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 9,829 19,658 29,487 49,145 58,974 98,290 147,435 294,870 304,699 609,398 914,097 1,523,495 1,828,194 3,046,990 4,570,485 9,140,970

Collatz Trajectory (88 steps to reach 1)

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

9,140,970 4,570,485 13,711,456 6,855,728 3,427,864 1,713,932 856,966 428,483 1,285,450 642,725 1,928,176 964,088 482,044 241,022 120,511 361,534 180,767 542,302 271,151 813,454 406,727 1,220,182 610,091 1,830,274 915,137 2,745,412 1,372,706 686,353 2,059,060 1,029,530 514,765 1,544,296 772,148 386,074 193,037 579,112 289,556 144,778 72,389 217,168 108,584 54,292 27,146 13,573 40,720 20,360 10,180 5,090 2,545 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269

More profiles

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