6,123,978

2 × 3³ × 7 × 17 × 953

Starting at 6,123,978, the Collatz iteration reaches 1 after 183 steps. The first transition is 3061989; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 17 × 953

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 16,485,120

Proper Divisor Sum 10,361,142

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6123977 ← → #6123979

Radix Representation

Decimal	6123978
Binary	10111010111000111001010 (23 bits)
Octal	0o27270712
Hexadecimal	0x5D71CA

Divisor Catalog (60 of 64)

1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 953 1,071 1,906 2,142 2,859 3,213 5,718 6,426 6,671 8,577 13,342 16,201 17,154 20,013 25,731 32,402 40,026 48,603 51,462 60,039 97,206 113,407 120,078 145,809 180,117 226,814 291,618 340,221 360,234 437,427 680,442 874,854

Collatz Trajectory (183 steps to reach 1)

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

6,123,978 3,061,989 9,185,968 4,592,984 2,296,492 1,148,246 574,123 1,722,370 861,185 2,583,556 1,291,778 645,889 1,937,668 968,834 484,417 1,453,252 726,626 363,313 1,089,940 544,970 272,485 817,456 408,728 204,364 102,182 51,091 153,274 76,637 229,912 114,956 57,478 28,739 86,218 43,109 129,328 64,664 32,332 16,166 8,083 24,250 12,125 36,376 18,188 9,094 4,547 13,642 6,821 20,464 10,232 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479

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