λ
Prime Ledger

3,621,710

2 × 5 × 71 × 5101
Deficient Even Composite

3,621,710 has the prime decomposition 2 × 5 × 71 × 5101. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 71 × 5101
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,612,192
Proper Divisor Sum 2,990,482
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3621701 ← → #3621713

Radix Representation

Decimal 3621710
Binary 1101110100001101001110 (22 bits)
Octal 0o15641516
Hexadecimal 0x37434E

Divisor Catalog (16)

1 2 5 10 71 142 355 710 5,101 10,202 25,505 51,010 362,171 724,342 1,810,855 3,621,710

Collatz Trajectory (221 steps to reach 1)

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

3,621,710 1,810,855 5,432,566 2,716,283 8,148,850 4,074,425 12,223,276 6,111,638 3,055,819 9,167,458 4,583,729 13,751,188 6,875,594 3,437,797 10,313,392 5,156,696 2,578,348 1,289,174 644,587 1,933,762 966,881 2,900,644 1,450,322 725,161 2,175,484 1,087,742 543,871 1,631,614 815,807 2,447,422 1,223,711 3,671,134 1,835,567 5,506,702 2,753,351 8,260,054 4,130,027 12,390,082 6,195,041 18,585,124 9,292,562 4,646,281 13,938,844 6,969,422 3,484,711 10,454,134 5,227,067 15,681,202 7,840,601 23,521,804 11,760,902 5,880,451 17,641,354 8,820,677 26,462,032 13,231,016 6,615,508 3,307,754 1,653,877 4,961,632

More profiles

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