5,475,978

2 × 3³ × 23 × 4409

Starting at 5,475,978, the Collatz iteration reaches 1 after 157 steps. The first transition is 2737989; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 23 × 4409

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,700,800

Proper Divisor Sum 7,224,822

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #5475973 ← → #5475979

Radix Representation

Decimal	5475978
Binary	10100111000111010001010 (23 bits)
Octal	0o24707212
Hexadecimal	0x538E8A

Divisor Catalog (32)

1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1,242 4,409 8,818 13,227 26,454 39,681 79,362 101,407 119,043 202,814 238,086 304,221 608,442 912,663 1,825,326 2,737,989 5,475,978

Collatz Trajectory (157 steps to reach 1)

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

5,475,978 2,737,989 8,213,968 4,106,984 2,053,492 1,026,746 513,373 1,540,120 770,060 385,030 192,515 577,546 288,773 866,320 433,160 216,580 108,290 54,145 162,436 81,218 40,609 121,828 60,914 30,457 91,372 45,686 22,843 68,530 34,265 102,796 51,398 25,699 77,098 38,549 115,648 57,824 28,912 14,456 7,228 3,614 1,807 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970

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