λ
Prime Ledger

5,725,010

2 × 5 × 37 × 15473
Deficient Even Composite

5,725,010 has the prime decomposition 2 × 5 × 37 × 15473. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 37 × 15473
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,584,216
Proper Divisor Sum 4,859,206
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #5725009 ← → #5725021

Radix Representation

Decimal 5725010
Binary 10101110101101101010010 (23 bits)
Octal 0o25655522
Hexadecimal 0x575B52

Divisor Catalog (16)

1 2 5 10 37 74 185 370 15,473 30,946 77,365 154,730 572,501 1,145,002 2,862,505 5,725,010

Collatz Trajectory (245 steps to reach 1)

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

5,725,010 2,862,505 8,587,516 4,293,758 2,146,879 6,440,638 3,220,319 9,660,958 4,830,479 14,491,438 7,245,719 21,737,158 10,868,579 32,605,738 16,302,869 48,908,608 24,454,304 12,227,152 6,113,576 3,056,788 1,528,394 764,197 2,292,592 1,146,296 573,148 286,574 143,287 429,862 214,931 644,794 322,397 967,192 483,596 241,798 120,899 362,698 181,349 544,048 272,024 136,012 68,006 34,003 102,010 51,005 153,016 76,508 38,254 19,127 57,382 28,691 86,074 43,037 129,112 64,556 32,278 16,139 48,418 24,209 72,628 36,314

More profiles

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