λ
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Atlas › Integer Profiles › Node 15,004,210

15,004,210

2 × 5 × 13 × 211 × 547
Deficient Even Composite

15,004,210 factors as 2 × 5 × 13 × 211 × 547. Its 32 positive divisors give a proper-divisor sum of 14,272,142, so this integer is deficient. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 211 × 547
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,276,352
Proper Divisor Sum 14,272,142
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #15004207 ← → #15004219

Radix Representation

Decimal 15004210
Binary 111001001111001000110010 (24 bits)
Octal 0o71171062
Hexadecimal 0xE4F232

Divisor Catalog (32)

1 2 5 10 13 26 65 130 211 422 547 1,055 1,094 2,110 2,735 2,743 5,470 5,486 7,111 13,715 14,222 27,430 35,555 71,110 115,417 230,834 577,085 1,154,170 1,500,421 3,000,842 7,502,105 15,004,210

Collatz Trajectory (187 steps to reach 1)

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

15,004,210 7,502,105 22,506,316 11,253,158 5,626,579 16,879,738 8,439,869 25,319,608 12,659,804 6,329,902 3,164,951 9,494,854 4,747,427 14,242,282 7,121,141 21,363,424 10,681,712 5,340,856 2,670,428 1,335,214 667,607 2,002,822 1,001,411 3,004,234 1,502,117 4,506,352 2,253,176 1,126,588 563,294 281,647 844,942 422,471 1,267,414 633,707 1,901,122 950,561 2,851,684 1,425,842 712,921 2,138,764 1,069,382 534,691 1,604,074 802,037 2,406,112 1,203,056 601,528 300,764 150,382 75,191 225,574 112,787 338,362 169,181 507,544 253,772 126,886 63,443 190,330 95,165

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