λ
Modular Archive

2,140,125

3 × 53 × 13 × 439
Deficient Odd Composite

The decimal integer 2,140,125 is 1000001010011111011101 in binary (22 bits), 10123735 in octal and 20A7DD in hexadecimal. Its digit sum is 15.

Prime Factor Structure

Factorization String 3 × 5^3 × 13 × 439
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,843,840
Proper Divisor Sum 1,703,715
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2140121 ← → #2140129

Radix Representation

Decimal 2140125
Binary 1000001010011111011101 (22 bits)
Octal 0o10123735
Hexadecimal 0x20A7DD

Divisor Catalog (32)

1 3 5 13 15 25 39 65 75 125 195 325 375 439 975 1,317 1,625 2,195 4,875 5,707 6,585 10,975 17,121 28,535 32,925 54,875 85,605 142,675 164,625 428,025 713,375 2,140,125

Collatz Trajectory (272 steps to reach 1)

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

2,140,125 6,420,376 3,210,188 1,605,094 802,547 2,407,642 1,203,821 3,611,464 1,805,732 902,866 451,433 1,354,300 677,150 338,575 1,015,726 507,863 1,523,590 761,795 2,285,386 1,142,693 3,428,080 1,714,040 857,020 428,510 214,255 642,766 321,383 964,150 482,075 1,446,226 723,113 2,169,340 1,084,670 542,335 1,627,006 813,503 2,440,510 1,220,255 3,660,766 1,830,383 5,491,150 2,745,575 8,236,726 4,118,363 12,355,090 6,177,545 18,532,636 9,266,318 4,633,159 13,899,478 6,949,739 20,849,218 10,424,609 31,273,828 15,636,914 7,818,457 23,455,372 11,727,686 5,863,843 17,591,530

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