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Atlas › Integer Profiles › Node 4,046,840

4,046,840

23 × 5 × 7 × 97 × 149
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 97 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,584,000
Proper Divisor Sum 6,537,160
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4046821 ← → #4046849

Radix Representation

Decimal 4046840
Binary 1111011011111111111000 (22 bits)
Octal 0o17337770
Hexadecimal 0x3DBFF8

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 97 140 149 194 280 298 388 485 596 679 745 776 970 1,043 1,192 1,358 1,490 1,940 2,086 2,716 2,980 3,395 3,880 4,172 5,215 5,432 5,960 6,790 8,344 10,430 13,580 14,453 20,860 27,160 28,906 41,720 57,812 72,265 101,171 115,624 144,530 202,342 289,060 404,684 505,855 578,120

Collatz Trajectory (229 steps to reach 1)

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

4,046,840 2,023,420 1,011,710 505,855 1,517,566 758,783 2,276,350 1,138,175 3,414,526 1,707,263 5,121,790 2,560,895 7,682,686 3,841,343 11,524,030 5,762,015 17,286,046 8,643,023 25,929,070 12,964,535 38,893,606 19,446,803 58,340,410 29,170,205 87,510,616 43,755,308 21,877,654 10,938,827 32,816,482 16,408,241 49,224,724 24,612,362 12,306,181 36,918,544 18,459,272 9,229,636 4,614,818 2,307,409 6,922,228 3,461,114 1,730,557 5,191,672 2,595,836 1,297,918 648,959 1,946,878 973,439 2,920,318 1,460,159 4,380,478 2,190,239 6,570,718 3,285,359 9,856,078 4,928,039 14,784,118 7,392,059 22,176,178 11,088,089 33,264,268

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