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Atlas › Integer Profiles › Node 2,014,362

2,014,362

2 × 33 × 7 × 732
Abundant Even Composite

2,014,362 factors as 2 × 3^3 × 7 × 73^2. Its 48 positive divisors give a proper-divisor sum of 3,172,518, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 73^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,186,880
Proper Divisor Sum 3,172,518
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2014357 ← → #2014379

Radix Representation

Decimal 2014362
Binary 111101011110010011010 (21 bits)
Octal 0o7536232
Hexadecimal 0x1EBC9A

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 27 42 54 63 73 126 146 189 219 378 438 511 657 1,022 1,314 1,533 1,971 3,066 3,942 4,599 5,329 9,198 10,658 13,797 15,987 27,594 31,974 37,303 47,961 74,606 95,922 111,909 143,883 223,818 287,766 335,727 671,454 1,007,181 2,014,362

Collatz Trajectory (91 steps to reach 1)

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

2,014,362 1,007,181 3,021,544 1,510,772 755,386 377,693 1,133,080 566,540 283,270 141,635 424,906 212,453 637,360 318,680 159,340 79,670 39,835 119,506 59,753 179,260 89,630 44,815 134,446 67,223 201,670 100,835 302,506 151,253 453,760 226,880 113,440 56,720 28,360 14,180 7,090 3,545 10,636 5,318 2,659 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358

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