4,927,135

5 × 73 × 13499

Starting at 4,927,135, the Collatz iteration reaches 1 after 312 steps. The first transition is 14781406; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 73 × 13499

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,994,000

Proper Divisor Sum 1,066,865

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4927121 ← → #4927141

Radix Representation

Decimal	4927135
Binary	10010110010111010011111 (23 bits)
Octal	0o22627237
Hexadecimal	0x4B2E9F

Divisor Catalog (8)

1 5 73 365 13,499 67,495 985,427 4,927,135

Collatz Trajectory (312 steps to reach 1)

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

4,927,135 14,781,406 7,390,703 22,172,110 11,086,055 33,258,166 16,629,083 49,887,250 24,943,625 74,830,876 37,415,438 18,707,719 56,123,158 28,061,579 84,184,738 42,092,369 126,277,108 63,138,554 31,569,277 94,707,832 47,353,916 23,676,958 11,838,479 35,515,438 17,757,719 53,273,158 26,636,579 79,909,738 39,954,869 119,864,608 59,932,304 29,966,152 14,983,076 7,491,538 3,745,769 11,237,308 5,618,654 2,809,327 8,427,982 4,213,991 12,641,974 6,320,987 18,962,962 9,481,481 28,444,444 14,222,222 7,111,111 21,333,334 10,666,667 32,000,002 16,000,001 48,000,004 24,000,002 12,000,001 36,000,004 18,000,002 9,000,001 27,000,004 13,500,002 6,750,001

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