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Atlas › Integer Profiles › Node 1,843,582

1,843,582

2 × 13 × 17 × 43 × 97
Deficient Even Composite

Starting at 1,843,582, the Collatz iteration reaches 1 after 202 steps. The first transition is 921791; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 43 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,259,872
Proper Divisor Sum 1,416,290
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1843579 ← → #1843591

Radix Representation

Decimal 1843582
Binary 111000010000101111110 (21 bits)
Octal 0o7020576
Hexadecimal 0x1C217E

Divisor Catalog (32)

1 2 13 17 26 34 43 86 97 194 221 442 559 731 1,118 1,261 1,462 1,649 2,522 3,298 4,171 8,342 9,503 19,006 21,437 42,874 54,223 70,907 108,446 141,814 921,791 1,843,582

Collatz Trajectory (202 steps to reach 1)

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

1,843,582 921,791 2,765,374 1,382,687 4,148,062 2,074,031 6,222,094 3,111,047 9,333,142 4,666,571 13,999,714 6,999,857 20,999,572 10,499,786 5,249,893 15,749,680 7,874,840 3,937,420 1,968,710 984,355 2,953,066 1,476,533 4,429,600 2,214,800 1,107,400 553,700 276,850 138,425 415,276 207,638 103,819 311,458 155,729 467,188 233,594 116,797 350,392 175,196 87,598 43,799 131,398 65,699 197,098 98,549 295,648 147,824 73,912 36,956 18,478 9,239 27,718 13,859 41,578 20,789 62,368 31,184 15,592 7,796 3,898 1,949

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