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Atlas › Integer Profiles › Node 1,369,938

1,369,938

2 × 3 × 19 × 61 × 197
Abundant Even Composite

1,369,938 factors as 2 × 3 × 19 × 61 × 197. Its 32 positive divisors give a proper-divisor sum of 1,576,302, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 61 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,946,240
Proper Divisor Sum 1,576,302
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1369897 ← → #1369943

Radix Representation

Decimal 1369938
Binary 101001110011101010010 (21 bits)
Octal 0o5163522
Hexadecimal 0x14E752

Divisor Catalog (32)

1 2 3 6 19 38 57 61 114 122 183 197 366 394 591 1,159 1,182 2,318 3,477 3,743 6,954 7,486 11,229 12,017 22,458 24,034 36,051 72,102 228,323 456,646 684,969 1,369,938

Collatz Trajectory (199 steps to reach 1)

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

1,369,938 684,969 2,054,908 1,027,454 513,727 1,541,182 770,591 2,311,774 1,155,887 3,467,662 1,733,831 5,201,494 2,600,747 7,802,242 3,901,121 11,703,364 5,851,682 2,925,841 8,777,524 4,388,762 2,194,381 6,583,144 3,291,572 1,645,786 822,893 2,468,680 1,234,340 617,170 308,585 925,756 462,878 231,439 694,318 347,159 1,041,478 520,739 1,562,218 781,109 2,343,328 1,171,664 585,832 292,916 146,458 73,229 219,688 109,844 54,922 27,461 82,384 41,192 20,596 10,298 5,149 15,448 7,724 3,862 1,931 5,794 2,897 8,692

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