1,337,000

2³ × 5³ × 7 × 191

1,337,000 has the prime decomposition 2^3 × 5^3 × 7 × 191. Its 4 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5^3 × 7 × 191

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 3,594,240

Proper Divisor Sum 2,257,240

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #1336997 ← → #1337003

Radix Representation

Decimal	1337000
Binary	101000110011010101000 (21 bits)
Octal	0o5063250
Hexadecimal	0x1466A8

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 191 200 250 280 350 382 500 700 764 875 955 1,000 1,337 1,400 1,528 1,750 1,910 2,674 3,500 3,820 4,775 5,348 6,685 7,000 7,640 9,550 10,696 13,370 19,100 23,875 26,740 33,425 38,200 47,750 53,480 66,850 95,500 133,700 167,125 191,000

Collatz Trajectory (62 steps to reach 1)

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

1,337,000 668,500 334,250 167,125 501,376 250,688 125,344 62,672 31,336 15,668 7,834 3,917 11,752 5,876 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

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