6,176,780

2² × 5 × 17 × 37 × 491

Starting at 6,176,780, the Collatz iteration reaches 1 after 152 steps. The first transition is 3088390; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 37 × 491

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,134,176

Proper Divisor Sum 7,957,396

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6176747 ← → #6176783

Radix Representation

Decimal	6176780
Binary	10111100100000000001100 (23 bits)
Octal	0o27440014
Hexadecimal	0x5E400C

Divisor Catalog (48)

1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 491 629 740 982 1,258 1,964 2,455 2,516 3,145 4,910 6,290 8,347 9,820 12,580 16,694 18,167 33,388 36,334 41,735 72,668 83,470 90,835 166,940 181,670 308,839 363,340 617,678 1,235,356 1,544,195 3,088,390 6,176,780

Collatz Trajectory (152 steps to reach 1)

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

6,176,780 3,088,390 1,544,195 4,632,586 2,316,293 6,948,880 3,474,440 1,737,220 868,610 434,305 1,302,916 651,458 325,729 977,188 488,594 244,297 732,892 366,446 183,223 549,670 274,835 824,506 412,253 1,236,760 618,380 309,190 154,595 463,786 231,893 695,680 347,840 173,920 86,960 43,480 21,740 10,870 5,435 16,306 8,153 24,460 12,230 6,115 18,346 9,173 27,520 13,760 6,880 3,440 1,720 860 430 215 646 323 970 485 1,456 728 364 182

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