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Atlas › Integer Profiles › Node 1,955,784

1,955,784

23 × 3 × 19 × 4289
Abundant Even Composite

1,955,784 factors as 2^3 × 3 × 19 × 4289. Its 32 positive divisors give a proper-divisor sum of 3,192,216, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 19 × 4289
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,148,000
Proper Divisor Sum 3,192,216
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1955777 ← → #1955801

Radix Representation

Decimal 1955784
Binary 111011101011111001000 (21 bits)
Octal 0o7353710
Hexadecimal 0x1DD7C8

Divisor Catalog (32)

1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 4,289 8,578 12,867 17,156 25,734 34,312 51,468 81,491 102,936 162,982 244,473 325,964 488,946 651,928 977,892 1,955,784

Collatz Trajectory (153 steps to reach 1)

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

1,955,784 977,892 488,946 244,473 733,420 366,710 183,355 550,066 275,033 825,100 412,550 206,275 618,826 309,413 928,240 464,120 232,060 116,030 58,015 174,046 87,023 261,070 130,535 391,606 195,803 587,410 293,705 881,116 440,558 220,279 660,838 330,419 991,258 495,629 1,486,888 743,444 371,722 185,861 557,584 278,792 139,396 69,698 34,849 104,548 52,274 26,137 78,412 39,206 19,603 58,810 29,405 88,216 44,108 22,054 11,027 33,082 16,541 49,624 24,812 12,406

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