5,347,325

5² × 107 × 1999

Starting at 5,347,325, the Collatz iteration reaches 1 after 276 steps. The first transition is 16041976; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 107 × 1999

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,696,000

Proper Divisor Sum 1,348,675

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #5347313 ← → #5347327

Radix Representation

Decimal	5347325
Binary	10100011001011111111101 (23 bits)
Octal	0o24313775
Hexadecimal	0x5197FD

Divisor Catalog (12)

1 5 25 107 535 1,999 2,675 9,995 49,975 213,893 1,069,465 5,347,325

Collatz Trajectory (276 steps to reach 1)

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

5,347,325 16,041,976 8,020,988 4,010,494 2,005,247 6,015,742 3,007,871 9,023,614 4,511,807 13,535,422 6,767,711 20,303,134 10,151,567 30,454,702 15,227,351 45,682,054 22,841,027 68,523,082 34,261,541 102,784,624 51,392,312 25,696,156 12,848,078 6,424,039 19,272,118 9,636,059 28,908,178 14,454,089 43,362,268 21,681,134 10,840,567 32,521,702 16,260,851 48,782,554 24,391,277 73,173,832 36,586,916 18,293,458 9,146,729 27,440,188 13,720,094 6,860,047 20,580,142 10,290,071 30,870,214 15,435,107 46,305,322 23,152,661 69,457,984 34,728,992 17,364,496 8,682,248 4,341,124 2,170,562 1,085,281 3,255,844 1,627,922 813,961 2,441,884 1,220,942

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