λ
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Atlas › Integer Profiles › Node 1,485,184

1,485,184

27 × 41 × 283
Abundant Even Composite

1,485,184 factors as 2^7 × 41 × 283. Its 32 positive divisors give a proper-divisor sum of 1,556,456, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^7 × 41 × 283
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,041,640
Proper Divisor Sum 1,556,456
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1485139 ← → #1485191

Radix Representation

Decimal 1485184
Binary 101101010100110000000 (21 bits)
Octal 0o5524600
Hexadecimal 0x16A980

Divisor Catalog (32)

1 2 4 8 16 32 41 64 82 128 164 283 328 566 656 1,132 1,312 2,264 2,624 4,528 5,248 9,056 11,603 18,112 23,206 36,224 46,412 92,824 185,648 371,296 742,592 1,485,184

Collatz Trajectory (88 steps to reach 1)

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

1,485,184 742,592 371,296 185,648 92,824 46,412 23,206 11,603 34,810 17,405 52,216 26,108 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262

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