λ
Prime Ledger

1,391,920

24 × 5 × 127 × 137
Abundant Even Composite

1,391,920 has the prime decomposition 2^4 × 5 × 127 × 137. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 127 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 3,285,504
Proper Divisor Sum 1,893,584
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1391917 ← → #1391927

Radix Representation

Decimal 1391920
Binary 101010011110100110000 (21 bits)
Octal 0o5236460
Hexadecimal 0x153D30

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 127 137 254 274 508 548 635 685 1,016 1,096 1,270 1,370 2,032 2,192 2,540 2,740 5,080 5,480 10,160 10,960 17,399 34,798 69,596 86,995 139,192 173,990 278,384 347,980 695,960 1,391,920

Collatz Trajectory (168 steps to reach 1)

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

1,391,920 695,960 347,980 173,990 86,995 260,986 130,493 391,480 195,740 97,870 48,935 146,806 73,403 220,210 110,105 330,316 165,158 82,579 247,738 123,869 371,608 185,804 92,902 46,451 139,354 69,677 209,032 104,516 52,258 26,129 78,388 39,194 19,597 58,792 29,396 14,698 7,349 22,048 11,024 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250

More profiles

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