λ
Prime Ledger

2,670,500

22 × 53 × 72 × 109
Abundant Even Composite

2,670,500 has the prime decomposition 2^2 × 5^3 × 7^2 × 109. Its 4 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 7^2 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 6,846,840
Proper Divisor Sum 4,176,340
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2670491 ← → #2670533

Radix Representation

Decimal 2670500
Binary 1010001011111110100100 (22 bits)
Octal 0o12137644
Hexadecimal 0x28BFA4

Divisor Catalog (60 of 72)

1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 109 125 140 175 196 218 245 250 350 436 490 500 545 700 763 875 980 1,090 1,225 1,526 1,750 2,180 2,450 2,725 3,052 3,500 3,815 4,900 5,341 5,450 6,125 7,630 10,682 10,900 12,250 13,625 15,260 19,075 21,364 24,500 26,705 27,250 38,150 53,410

Collatz Trajectory (169 steps to reach 1)

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

2,670,500 1,335,250 667,625 2,002,876 1,001,438 500,719 1,502,158 751,079 2,253,238 1,126,619 3,379,858 1,689,929 5,069,788 2,534,894 1,267,447 3,802,342 1,901,171 5,703,514 2,851,757 8,555,272 4,277,636 2,138,818 1,069,409 3,208,228 1,604,114 802,057 2,406,172 1,203,086 601,543 1,804,630 902,315 2,706,946 1,353,473 4,060,420 2,030,210 1,015,105 3,045,316 1,522,658 761,329 2,283,988 1,141,994 570,997 1,712,992 856,496 428,248 214,124 107,062 53,531 160,594 80,297 240,892 120,446 60,223 180,670 90,335 271,006 135,503 406,510 203,255 609,766

More profiles

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