λ
Harmonic Matrix

9,636,060

22 × 3 × 5 × 7 × 22943
Abundant Even Composite

9,636,060 has digital root 3. The neighboring primes are 9636047 and 9636061; its proper-divisor sum differs from the starting integer by 11,564,616.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 22943
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 30,836,736
Proper Divisor Sum 21,200,676
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9636047 ← → #9636061

Radix Representation

Decimal 9636060
Binary 100100110000100011011100 (24 bits)
Octal 0o44604334
Hexadecimal 0x9308DC

Divisor Catalog (48)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 22,943 45,886 68,829 91,772 114,715 137,658 160,601 229,430 275,316 321,202 344,145 458,860 481,803 642,404 688,290 803,005 963,606 1,376,580 1,606,010 1,927,212 2,409,015 3,212,020 4,818,030 9,636,060

Collatz Trajectory (145 steps to reach 1)

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

9,636,060 4,818,030 2,409,015 7,227,046 3,613,523 10,840,570 5,420,285 16,260,856 8,130,428 4,065,214 2,032,607 6,097,822 3,048,911 9,146,734 4,573,367 13,720,102 6,860,051 20,580,154 10,290,077 30,870,232 15,435,116 7,717,558 3,858,779 11,576,338 5,788,169 17,364,508 8,682,254 4,341,127 13,023,382 6,511,691 19,535,074 9,767,537 29,302,612 14,651,306 7,325,653 21,976,960 10,988,480 5,494,240 2,747,120 1,373,560 686,780 343,390 171,695 515,086 257,543 772,630 386,315 1,158,946 579,473 1,738,420 869,210 434,605 1,303,816 651,908 325,954 162,977 488,932 244,466 122,233 366,700

More profiles

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