6,803,079

3 × 37 × 167 × 367

Starting at 6,803,079, the Collatz iteration reaches 1 after 178 steps. The first transition is 20409238; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 37 × 167 × 367

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,397,248

Proper Divisor Sum 2,594,169

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6803063 ← → #6803099

Radix Representation

Decimal	6803079
Binary	11001111100111010000111 (23 bits)
Octal	0o31747207
Hexadecimal	0x67CE87

Divisor Catalog (16)

1 3 37 111 167 367 501 1,101 6,179 13,579 18,537 40,737 61,289 183,867 2,267,693 6,803,079

Collatz Trajectory (178 steps to reach 1)

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

6,803,079 20,409,238 10,204,619 30,613,858 15,306,929 45,920,788 22,960,394 11,480,197 34,440,592 17,220,296 8,610,148 4,305,074 2,152,537 6,457,612 3,228,806 1,614,403 4,843,210 2,421,605 7,264,816 3,632,408 1,816,204 908,102 454,051 1,362,154 681,077 2,043,232 1,021,616 510,808 255,404 127,702 63,851 191,554 95,777 287,332 143,666 71,833 215,500 107,750 53,875 161,626 80,813 242,440 121,220 60,610 30,305 90,916 45,458 22,729 68,188 34,094 17,047 51,142 25,571 76,714 38,357 115,072 57,536 28,768 14,384 7,192

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