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Atlas › Integer Profiles › Node 1,369,836

1,369,836

22 × 32 × 13 × 2927
Abundant Even Composite

1,369,836 factors as 2^2 × 3^2 × 13 × 2927. Its 36 positive divisors give a proper-divisor sum of 2,360,436, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 2927
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,730,272
Proper Divisor Sum 2,360,436
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1369831 ← → #1369853

Radix Representation

Decimal 1369836
Binary 101001110011011101100 (21 bits)
Octal 0o5163354
Hexadecimal 0x14E6EC

Divisor Catalog (36)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2,927 5,854 8,781 11,708 17,562 26,343 35,124 38,051 52,686 76,102 105,372 114,153 152,204 228,306 342,459 456,612 684,918 1,369,836

Collatz Trajectory (168 steps to reach 1)

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

1,369,836 684,918 342,459 1,027,378 513,689 1,541,068 770,534 385,267 1,155,802 577,901 1,733,704 866,852 433,426 216,713 650,140 325,070 162,535 487,606 243,803 731,410 365,705 1,097,116 548,558 274,279 822,838 411,419 1,234,258 617,129 1,851,388 925,694 462,847 1,388,542 694,271 2,082,814 1,041,407 3,124,222 1,562,111 4,686,334 2,343,167 7,029,502 3,514,751 10,544,254 5,272,127 15,816,382 7,908,191 23,724,574 11,862,287 35,586,862 17,793,431 53,380,294 26,690,147 80,070,442 40,035,221 120,105,664 60,052,832 30,026,416 15,013,208 7,506,604 3,753,302 1,876,651

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