λ
Sigma Notebook

1,931,640

23 × 3 × 5 × 16097
Abundant Even Composite

1,931,640 is even and not a perfect square. Its factorization is 2^3 × 3 × 5 × 16097 and its 32 divisors sum to 5,795,280.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 16097
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,795,280
Proper Divisor Sum 3,863,640
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1931627 ← → #1931647

Radix Representation

Decimal 1931640
Binary 111010111100101111000 (21 bits)
Octal 0o7274570
Hexadecimal 0x1D7978

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 16,097 32,194 48,291 64,388 80,485 96,582 128,776 160,970 193,164 241,455 321,940 386,328 482,910 643,880 965,820 1,931,640

Collatz Trajectory (153 steps to reach 1)

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

1,931,640 965,820 482,910 241,455 724,366 362,183 1,086,550 543,275 1,629,826 814,913 2,444,740 1,222,370 611,185 1,833,556 916,778 458,389 1,375,168 687,584 343,792 171,896 85,948 42,974 21,487 64,462 32,231 96,694 48,347 145,042 72,521 217,564 108,782 54,391 163,174 81,587 244,762 122,381 367,144 183,572 91,786 45,893 137,680 68,840 34,420 17,210 8,605 25,816 12,908 6,454 3,227 9,682 4,841 14,524 7,262 3,631 10,894 5,447 16,342 8,171 24,514 12,257

More profiles

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