λ
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Atlas › Integer Profiles › Node 2,501,366

2,501,366

2 × 7 × 29 × 61 × 101
Deficient Even Composite

2,501,366 factors as 2 × 7 × 29 × 61 × 101. Its 32 positive divisors give a proper-divisor sum of 2,051,914, so this integer is deficient. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2 × 7 × 29 × 61 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,553,280
Proper Divisor Sum 2,051,914
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2501357 ← → #2501383

Radix Representation

Decimal 2501366
Binary 1001100010101011110110 (22 bits)
Octal 0o11425366
Hexadecimal 0x262AF6

Divisor Catalog (32)

1 2 7 14 29 58 61 101 122 202 203 406 427 707 854 1,414 1,769 2,929 3,538 5,858 6,161 12,322 12,383 20,503 24,766 41,006 43,127 86,254 178,669 357,338 1,250,683 2,501,366

Collatz Trajectory (174 steps to reach 1)

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

2,501,366 1,250,683 3,752,050 1,876,025 5,628,076 2,814,038 1,407,019 4,221,058 2,110,529 6,331,588 3,165,794 1,582,897 4,748,692 2,374,346 1,187,173 3,561,520 1,780,760 890,380 445,190 222,595 667,786 333,893 1,001,680 500,840 250,420 125,210 62,605 187,816 93,908 46,954 23,477 70,432 35,216 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442

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