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Atlas › Integer Profiles › Node 1,844,752

1,844,752

24 × 72 × 13 × 181
Abundant Even Composite

1,844,752 factors as 2^4 × 7^2 × 13 × 181. Its 60 positive divisors give a proper-divisor sum of 2,657,564, so this integer is abundant. The Collatz stopping time is 202 steps.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 13 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 4,502,316
Proper Divisor Sum 2,657,564
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1844749 ← → #1844813

Radix Representation

Decimal 1844752
Binary 111000010011000010000 (21 bits)
Octal 0o7023020
Hexadecimal 0x1C2610

Divisor Catalog (60)

1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 181 182 196 208 362 364 392 637 724 728 784 1,267 1,274 1,448 1,456 2,353 2,534 2,548 2,896 4,706 5,068 5,096 8,869 9,412 10,136 10,192 16,471 17,738 18,824 20,272 32,942 35,476 37,648 65,884 70,952 115,297 131,768 141,904 230,594 263,536 461,188 922,376 1,844,752

Collatz Trajectory (202 steps to reach 1)

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

1,844,752 922,376 461,188 230,594 115,297 345,892 172,946 86,473 259,420 129,710 64,855 194,566 97,283 291,850 145,925 437,776 218,888 109,444 54,722 27,361 82,084 41,042 20,521 61,564 30,782 15,391 46,174 23,087 69,262 34,631 103,894 51,947 155,842 77,921 233,764 116,882 58,441 175,324 87,662 43,831 131,494 65,747 197,242 98,621 295,864 147,932 73,966 36,983 110,950 55,475 166,426 83,213 249,640 124,820 62,410 31,205 93,616 46,808 23,404 11,702

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