λ
Harmonic Matrix

3,177,334

2 × 17 × 113 × 827
Deficient Even Composite

3,177,334 has digital root 1. The neighboring primes are 3177331 and 3177337; its proper-divisor sum differs from the starting integer by -1,257,500.

Prime Factor Structure

Factorization String 2 × 17 × 113 × 827
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,097,168
Proper Divisor Sum 1,919,834
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3177331 ← → #3177337

Radix Representation

Decimal 3177334
Binary 1100000111101101110110 (22 bits)
Octal 0o14075566
Hexadecimal 0x307B76

Divisor Catalog (16)

1 2 17 34 113 226 827 1,654 1,921 3,842 14,059 28,118 93,451 186,902 1,588,667 3,177,334

Collatz Trajectory (151 steps to reach 1)

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

3,177,334 1,588,667 4,766,002 2,383,001 7,149,004 3,574,502 1,787,251 5,361,754 2,680,877 8,042,632 4,021,316 2,010,658 1,005,329 3,015,988 1,507,994 753,997 2,261,992 1,130,996 565,498 282,749 848,248 424,124 212,062 106,031 318,094 159,047 477,142 238,571 715,714 357,857 1,073,572 536,786 268,393 805,180 402,590 201,295 603,886 301,943 905,830 452,915 1,358,746 679,373 2,038,120 1,019,060 509,530 254,765 764,296 382,148 191,074 95,537 286,612 143,306 71,653 214,960 107,480 53,740 26,870 13,435 40,306 20,153

More profiles

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