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Atlas › Integer Profiles › Node 1,978,584

1,978,584

23 × 3 × 19 × 4339
Abundant Even Composite

1,978,584 factors as 2^3 × 3 × 19 × 4339. Its 32 positive divisors give a proper-divisor sum of 3,229,416, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 19 × 4339
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,208,000
Proper Divisor Sum 3,229,416
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #1978567 ← → #1978589

Radix Representation

Decimal 1978584
Binary 111100011000011011000 (21 bits)
Octal 0o7430330
Hexadecimal 0x1E30D8

Divisor Catalog (32)

1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 4,339 8,678 13,017 17,356 26,034 34,712 52,068 82,441 104,136 164,882 247,323 329,764 494,646 659,528 989,292 1,978,584

Collatz Trajectory (96 steps to reach 1)

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

1,978,584 989,292 494,646 247,323 741,970 370,985 1,112,956 556,478 278,239 834,718 417,359 1,252,078 626,039 1,878,118 939,059 2,817,178 1,408,589 4,225,768 2,112,884 1,056,442 528,221 1,584,664 792,332 396,166 198,083 594,250 297,125 891,376 445,688 222,844 111,422 55,711 167,134 83,567 250,702 125,351 376,054 188,027 564,082 282,041 846,124 423,062 211,531 634,594 317,297 951,892 475,946 237,973 713,920 356,960 178,480 89,240 44,620 22,310 11,155 33,466 16,733 50,200 25,100 12,550

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