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Atlas › Integer Profiles › Node 1,475,628

1,475,628

22 × 3 × 7 × 11 × 1597
Abundant Even Composite

1,475,628 factors as 2^2 × 3 × 7 × 11 × 1597. Its 48 positive divisors give a proper-divisor sum of 2,819,796, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 11 × 1597
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,295,424
Proper Divisor Sum 2,819,796
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1475609 ← → #1475647

Radix Representation

Decimal 1475628
Binary 101101000010000101100 (21 bits)
Octal 0o5502054
Hexadecimal 0x16842C

Divisor Catalog (48)

1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1,597 3,194 4,791 6,388 9,582 11,179 17,567 19,164 22,358 33,537 35,134 44,716 52,701 67,074 70,268 105,402 122,969 134,148 210,804 245,938 368,907 491,876 737,814 1,475,628

Collatz Trajectory (106 steps to reach 1)

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

1,475,628 737,814 368,907 1,106,722 553,361 1,660,084 830,042 415,021 1,245,064 622,532 311,266 155,633 466,900 233,450 116,725 350,176 175,088 87,544 43,772 21,886 10,943 32,830 16,415 49,246 24,623 73,870 36,935 110,806 55,403 166,210 83,105 249,316 124,658 62,329 186,988 93,494 46,747 140,242 70,121 210,364 105,182 52,591 157,774 78,887 236,662 118,331 354,994 177,497 532,492 266,246 133,123 399,370 199,685 599,056 299,528 149,764 74,882 37,441 112,324 56,162

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