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Atlas › Integer Profiles › Node 1,978,144

1,978,144

25 × 7 × 8831
Abundant Even Composite

1,978,144 factors as 2^5 × 7 × 8831. Its 24 positive divisors give a proper-divisor sum of 2,473,184, so this integer is abundant. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 8831
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,451,328
Proper Divisor Sum 2,473,184
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1978117 ← → #1978153

Radix Representation

Decimal 1978144
Binary 111100010111100100000 (21 bits)
Octal 0o7427440
Hexadecimal 0x1E2F20

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 8,831 17,662 35,324 61,817 70,648 123,634 141,296 247,268 282,592 494,536 989,072 1,978,144

Collatz Trajectory (215 steps to reach 1)

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

1,978,144 989,072 494,536 247,268 123,634 61,817 185,452 92,726 46,363 139,090 69,545 208,636 104,318 52,159 156,478 78,239 234,718 117,359 352,078 176,039 528,118 264,059 792,178 396,089 1,188,268 594,134 297,067 891,202 445,601 1,336,804 668,402 334,201 1,002,604 501,302 250,651 751,954 375,977 1,127,932 563,966 281,983 845,950 422,975 1,268,926 634,463 1,903,390 951,695 2,855,086 1,427,543 4,282,630 2,141,315 6,423,946 3,211,973 9,635,920 4,817,960 2,408,980 1,204,490 602,245 1,806,736 903,368 451,684

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