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Atlas › Integer Profiles › Node 1,702,152

1,702,152

23 × 32 × 47 × 503
Abundant Even Composite

1,702,152 factors as 2^3 × 3^2 × 47 × 503. Its 48 positive divisors give a proper-divisor sum of 3,015,288, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 47 × 503
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,717,440
Proper Divisor Sum 3,015,288
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1702139 ← → #1702171

Radix Representation

Decimal 1702152
Binary 110011111100100001000 (21 bits)
Octal 0o6374410
Hexadecimal 0x19F908

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 503 564 846 1,006 1,128 1,509 1,692 2,012 3,018 3,384 4,024 4,527 6,036 9,054 12,072 18,108 23,641 36,216 47,282 70,923 94,564 141,846 189,128 212,769 283,692 425,538 567,384 851,076 1,702,152

Collatz Trajectory (127 steps to reach 1)

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

1,702,152 851,076 425,538 212,769 638,308 319,154 159,577 478,732 239,366 119,683 359,050 179,525 538,576 269,288 134,644 67,322 33,661 100,984 50,492 25,246 12,623 37,870 18,935 56,806 28,403 85,210 42,605 127,816 63,908 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772 86,386 43,193 129,580 64,790

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