λ
Prime Ledger

2,760,440

23 × 5 × 69011
Abundant Even Composite

2,760,440 has the prime decomposition 2^3 × 5 × 69011. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 69011
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,211,080
Proper Divisor Sum 3,450,640
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2760421 ← → #2760449

Radix Representation

Decimal 2760440
Binary 1010100001111011111000 (22 bits)
Octal 0o12417370
Hexadecimal 0x2A1EF8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 69,011 138,022 276,044 345,055 552,088 690,110 1,380,220 2,760,440

Collatz Trajectory (112 steps to reach 1)

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

2,760,440 1,380,220 690,110 345,055 1,035,166 517,583 1,552,750 776,375 2,329,126 1,164,563 3,493,690 1,746,845 5,240,536 2,620,268 1,310,134 655,067 1,965,202 982,601 2,947,804 1,473,902 736,951 2,210,854 1,105,427 3,316,282 1,658,141 4,974,424 2,487,212 1,243,606 621,803 1,865,410 932,705 2,798,116 1,399,058 699,529 2,098,588 1,049,294 524,647 1,573,942 786,971 2,360,914 1,180,457 3,541,372 1,770,686 885,343 2,656,030 1,328,015 3,984,046 1,992,023 5,976,070 2,988,035 8,964,106 4,482,053 13,446,160 6,723,080 3,361,540 1,680,770 840,385 2,521,156 1,260,578 630,289

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