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Atlas › Integer Profiles › Node 2,015,552

2,015,552

26 × 7 × 11 × 409
Abundant Even Composite

2,015,552 factors as 2^6 × 7 × 11 × 409. Its 56 positive divisors give a proper-divisor sum of 2,983,168, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 11 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 4,998,720
Proper Divisor Sum 2,983,168
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2015543 ← → #2015557

Radix Representation

Decimal 2015552
Binary 111101100000101000000 (21 bits)
Octal 0o7540500
Hexadecimal 0x1EC140

Divisor Catalog (56)

1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 409 448 616 704 818 1,232 1,636 2,464 2,863 3,272 4,499 4,928 5,726 6,544 8,998 11,452 13,088 17,996 22,904 26,176 31,493 35,992 45,808 62,986 71,984 91,616 125,972 143,968 183,232 251,944 287,936 503,888 1,007,776 2,015,552

Collatz Trajectory (153 steps to reach 1)

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

2,015,552 1,007,776 503,888 251,944 125,972 62,986 31,493 94,480 47,240 23,620 11,810 5,905 17,716 8,858 4,429 13,288 6,644 3,322 1,661 4,984 2,492 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364

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