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Atlas › Integer Profiles › Node 1,371,984

1,371,984

24 × 3 × 101 × 283
Abundant Even Composite

1,371,984 factors as 2^4 × 3 × 101 × 283. Its 40 positive divisors give a proper-divisor sum of 2,220,048, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 101 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 3,592,032
Proper Divisor Sum 2,220,048
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1371949 ← → #1371989

Radix Representation

Decimal 1371984
Binary 101001110111101010000 (21 bits)
Octal 0o5167520
Hexadecimal 0x14EF50

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 101 202 283 303 404 566 606 808 849 1,132 1,212 1,616 1,698 2,264 2,424 3,396 4,528 4,848 6,792 13,584 28,583 57,166 85,749 114,332 171,498 228,664 342,996 457,328 685,992 1,371,984

Collatz Trajectory (199 steps to reach 1)

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

1,371,984 685,992 342,996 171,498 85,749 257,248 128,624 64,312 32,156 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707

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