λ
Sequence Observatory

5,036,831

61 × 82571
Deficient Odd Composite

Starting at 5,036,831, the Collatz iteration reaches 1 after 188 steps. The first transition is 15110494; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 61 × 82571
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,119,464
Proper Divisor Sum 82,633
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5036821 ← → #5036851

Radix Representation

Decimal 5036831
Binary 10011001101101100011111 (23 bits)
Octal 0o23155437
Hexadecimal 0x4CDB1F

Divisor Catalog (4)

1 61 82,571 5,036,831

Collatz Trajectory (188 steps to reach 1)

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

5,036,831 15,110,494 7,555,247 22,665,742 11,332,871 33,998,614 16,999,307 50,997,922 25,498,961 76,496,884 38,248,442 19,124,221 57,372,664 28,686,332 14,343,166 7,171,583 21,514,750 10,757,375 32,272,126 16,136,063 48,408,190 24,204,095 72,612,286 36,306,143 108,918,430 54,459,215 163,377,646 81,688,823 245,066,470 122,533,235 367,599,706 183,799,853 551,399,560 275,699,780 137,849,890 68,924,945 206,774,836 103,387,418 51,693,709 155,081,128 77,540,564 38,770,282 19,385,141 58,155,424 29,077,712 14,538,856 7,269,428 3,634,714 1,817,357 5,452,072 2,726,036 1,363,018 681,509 2,044,528 1,022,264 511,132 255,566 127,783 383,350 191,675

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