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Atlas › Integer Profiles › Node 1,674,584

1,674,584

23 × 19 × 23 × 479
Abundant Even Composite

1,674,584 factors as 2^3 × 19 × 23 × 479. Its 32 positive divisors give a proper-divisor sum of 1,781,416, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 23 × 479
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,456,000
Proper Divisor Sum 1,781,416
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1674581 ← → #1674587

Radix Representation

Decimal 1674584
Binary 110011000110101011000 (21 bits)
Octal 0o6306530
Hexadecimal 0x198D58

Divisor Catalog (32)

1 2 4 8 19 23 38 46 76 92 152 184 437 479 874 958 1,748 1,916 3,496 3,832 9,101 11,017 18,202 22,034 36,404 44,068 72,808 88,136 209,323 418,646 837,292 1,674,584

Collatz Trajectory (158 steps to reach 1)

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

1,674,584 837,292 418,646 209,323 627,970 313,985 941,956 470,978 235,489 706,468 353,234 176,617 529,852 264,926 132,463 397,390 198,695 596,086 298,043 894,130 447,065 1,341,196 670,598 335,299 1,005,898 502,949 1,508,848 754,424 377,212 188,606 94,303 282,910 141,455 424,366 212,183 636,550 318,275 954,826 477,413 1,432,240 716,120 358,060 179,030 89,515 268,546 134,273 402,820 201,410 100,705 302,116 151,058 75,529 226,588 113,294 56,647 169,942 84,971 254,914 127,457 382,372

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