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Atlas › Integer Profiles › Node 1,617,150

1,617,150

2 × 3 × 52 × 10781
Abundant Even Composite

1,617,150 factors as 2 × 3 × 5^2 × 10781. Its 24 positive divisors give a proper-divisor sum of 2,393,754, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 10781
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,010,904
Proper Divisor Sum 2,393,754
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1617149 ← → #1617211

Radix Representation

Decimal 1617150
Binary 110001010110011111110 (21 bits)
Octal 0o6126376
Hexadecimal 0x18ACFE

Divisor Catalog (24)

1 2 3 5 6 10 15 25 30 50 75 150 10,781 21,562 32,343 53,905 64,686 107,810 161,715 269,525 323,430 539,050 808,575 1,617,150

Collatz Trajectory (207 steps to reach 1)

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

1,617,150 808,575 2,425,726 1,212,863 3,638,590 1,819,295 5,457,886 2,728,943 8,186,830 4,093,415 12,280,246 6,140,123 18,420,370 9,210,185 27,630,556 13,815,278 6,907,639 20,722,918 10,361,459 31,084,378 15,542,189 46,626,568 23,313,284 11,656,642 5,828,321 17,484,964 8,742,482 4,371,241 13,113,724 6,556,862 3,278,431 9,835,294 4,917,647 14,752,942 7,376,471 22,129,414 11,064,707 33,194,122 16,597,061 49,791,184 24,895,592 12,447,796 6,223,898 3,111,949 9,335,848 4,667,924 2,333,962 1,166,981 3,500,944 1,750,472 875,236 437,618 218,809 656,428 328,214 164,107 492,322 246,161 738,484 369,242

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