λ
Sequence Observatory

4,938,475

52 × 197539
Deficient Odd Composite

Starting at 4,938,475, the Collatz iteration reaches 1 after 113 steps. The first transition is 14815426; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 197539
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 6,123,740
Proper Divisor Sum 1,185,265
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4938473 ← → #4938509

Radix Representation

Decimal 4938475
Binary 10010110101101011101011 (23 bits)
Octal 0o22655353
Hexadecimal 0x4B5AEB

Divisor Catalog (6)

1 5 25 197,539 987,695 4,938,475

Collatz Trajectory (113 steps to reach 1)

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

4,938,475 14,815,426 7,407,713 22,223,140 11,111,570 5,555,785 16,667,356 8,333,678 4,166,839 12,500,518 6,250,259 18,750,778 9,375,389 28,126,168 14,063,084 7,031,542 3,515,771 10,547,314 5,273,657 15,820,972 7,910,486 3,955,243 11,865,730 5,932,865 17,798,596 8,899,298 4,449,649 13,348,948 6,674,474 3,337,237 10,011,712 5,005,856 2,502,928 1,251,464 625,732 312,866 156,433 469,300 234,650 117,325 351,976 175,988 87,994 43,997 131,992 65,996 32,998 16,499 49,498 24,749 74,248 37,124 18,562 9,281 27,844 13,922 6,961 20,884 10,442 5,221

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