λ
Sigma Notebook

9,813,102

2 × 3 × 13 × 97 × 1297
Abundant Even Composite

9,813,102 is even and not a perfect square. Its factorization is 2 × 3 × 13 × 97 × 1297 and its 32 divisors sum to 21,370,272.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 97 × 1297
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,370,272
Proper Divisor Sum 11,557,170
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9813061 ← → #9813127

Radix Representation

Decimal 9813102
Binary 100101011011110001101110 (24 bits)
Octal 0o45336156
Hexadecimal 0x95BC6E

Divisor Catalog (32)

1 2 3 6 13 26 39 78 97 194 291 582 1,261 1,297 2,522 2,594 3,783 3,891 7,566 7,782 16,861 33,722 50,583 101,166 125,809 251,618 377,427 754,854 1,635,517 3,271,034 4,906,551 9,813,102

Collatz Trajectory (145 steps to reach 1)

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

9,813,102 4,906,551 14,719,654 7,359,827 22,079,482 11,039,741 33,119,224 16,559,612 8,279,806 4,139,903 12,419,710 6,209,855 18,629,566 9,314,783 27,944,350 13,972,175 41,916,526 20,958,263 62,874,790 31,437,395 94,312,186 47,156,093 141,468,280 70,734,140 35,367,070 17,683,535 53,050,606 26,525,303 79,575,910 39,787,955 119,363,866 59,681,933 179,045,800 89,522,900 44,761,450 22,380,725 67,142,176 33,571,088 16,785,544 8,392,772 4,196,386 2,098,193 6,294,580 3,147,290 1,573,645 4,720,936 2,360,468 1,180,234 590,117 1,770,352 885,176 442,588 221,294 110,647 331,942 165,971 497,914 248,957 746,872 373,436

More profiles

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