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Atlas › Integer Profiles › Node 6,420,102

6,420,102

2 × 3 × 13 × 53 × 1553
Abundant Even Composite

6,420,102 factors as 2 × 3 × 13 × 53 × 1553. Its 32 positive divisors give a proper-divisor sum of 7,677,786, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 53 × 1553
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,097,888
Proper Divisor Sum 7,677,786
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #6420079 ← → #6420103

Radix Representation

Decimal 6420102
Binary 11000011111011010000110 (23 bits)
Octal 0o30373206
Hexadecimal 0x61F686

Divisor Catalog (32)

1 2 3 6 13 26 39 53 78 106 159 318 689 1,378 1,553 2,067 3,106 4,134 4,659 9,318 20,189 40,378 60,567 82,309 121,134 164,618 246,927 493,854 1,070,017 2,140,034 3,210,051 6,420,102

Collatz Trajectory (95 steps to reach 1)

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

6,420,102 3,210,051 9,630,154 4,815,077 14,445,232 7,222,616 3,611,308 1,805,654 902,827 2,708,482 1,354,241 4,062,724 2,031,362 1,015,681 3,047,044 1,523,522 761,761 2,285,284 1,142,642 571,321 1,713,964 856,982 428,491 1,285,474 642,737 1,928,212 964,106 482,053 1,446,160 723,080 361,540 180,770 90,385 271,156 135,578 67,789 203,368 101,684 50,842 25,421 76,264 38,132 19,066 9,533 28,600 14,300 7,150 3,575 10,726 5,363 16,090 8,045 24,136 12,068 6,034 3,017 9,052 4,526 2,263 6,790

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