λ
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Atlas › Integer Profiles › Node 1,662,552

1,662,552

23 × 33 × 43 × 179
Abundant Even Composite

1,662,552 factors as 2^3 × 3^3 × 43 × 179. Its 64 positive divisors give a proper-divisor sum of 3,089,448, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 43 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 4,752,000
Proper Divisor Sum 3,089,448
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1662547 ← → #1662553

Radix Representation

Decimal 1662552
Binary 110010101111001011000 (21 bits)
Octal 0o6257130
Hexadecimal 0x195E58

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 179 216 258 344 358 387 516 537 716 774 1,032 1,074 1,161 1,432 1,548 1,611 2,148 2,322 3,096 3,222 4,296 4,644 4,833 6,444 7,697 9,288 9,666 12,888 15,394 19,332 23,091 30,788 38,664 46,182 61,576 69,273 92,364 138,546 184,728 207,819 277,092

Collatz Trajectory (207 steps to reach 1)

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

1,662,552 831,276 415,638 207,819 623,458 311,729 935,188 467,594 233,797 701,392 350,696 175,348 87,674 43,837 131,512 65,756 32,878 16,439 49,318 24,659 73,978 36,989 110,968 55,484 27,742 13,871 41,614 20,807 62,422 31,211 93,634 46,817 140,452 70,226 35,113 105,340 52,670 26,335 79,006 39,503 118,510 59,255 177,766 88,883 266,650 133,325 399,976 199,988 99,994 49,997 149,992 74,996 37,498 18,749 56,248 28,124 14,062 7,031 21,094 10,547

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