3,078,403

41 × 75083

Starting at 3,078,403, the Collatz iteration reaches 1 after 102 steps. The first transition is 9235210; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 41 × 75083

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 3,153,528

Proper Divisor Sum 75,125

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3078401 ← → #3078409

Radix Representation

Decimal	3078403
Binary	1011101111100100000011 (22 bits)
Octal	0o13574403
Hexadecimal	0x2EF903

Divisor Catalog (4)

1 41 75,083 3,078,403

Collatz Trajectory (102 steps to reach 1)

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

3,078,403 9,235,210 4,617,605 13,852,816 6,926,408 3,463,204 1,731,602 865,801 2,597,404 1,298,702 649,351 1,948,054 974,027 2,922,082 1,461,041 4,383,124 2,191,562 1,095,781 3,287,344 1,643,672 821,836 410,918 205,459 616,378 308,189 924,568 462,284 231,142 115,571 346,714 173,357 520,072 260,036 130,018 65,009 195,028 97,514 48,757 146,272 73,136 36,568 18,284 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256

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