5,474,345

5 × 23 × 181 × 263

Starting at 5,474,345, the Collatz iteration reaches 1 after 113 steps. The first transition is 16423036; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 23 × 181 × 263

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,918,912

Proper Divisor Sum 1,444,567

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5474341 ← → #5474363

Radix Representation

Decimal	5474345
Binary	10100111000100000101001 (23 bits)
Octal	0o24704051
Hexadecimal	0x538829

Divisor Catalog (16)

1 5 23 115 181 263 905 1,315 4,163 6,049 20,815 30,245 47,603 238,015 1,094,869 5,474,345

Collatz Trajectory (113 steps to reach 1)

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

5,474,345 16,423,036 8,211,518 4,105,759 12,317,278 6,158,639 18,475,918 9,237,959 27,713,878 13,856,939 41,570,818 20,785,409 62,356,228 31,178,114 15,589,057 46,767,172 23,383,586 11,691,793 35,075,380 17,537,690 8,768,845 26,306,536 13,153,268 6,576,634 3,288,317 9,864,952 4,932,476 2,466,238 1,233,119 3,699,358 1,849,679 5,549,038 2,774,519 8,323,558 4,161,779 12,485,338 6,242,669 18,728,008 9,364,004 4,682,002 2,341,001 7,023,004 3,511,502 1,755,751 5,267,254 2,633,627 7,900,882 3,950,441 11,851,324 5,925,662 2,962,831 8,888,494 4,444,247 13,332,742 6,666,371 19,999,114 9,999,557 29,998,672 14,999,336 7,499,668

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