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Atlas › Integer Profiles › Node 87,134,192

87,134,192

24 × 127 × 137 × 313
Deficient Even Composite

Prime Factor Structure

Factorization String 2^4 × 127 × 137 × 313
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 171,941,376
Proper Divisor Sum 84,807,184
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #87134191 ← → #87134207

Radix Representation

Decimal 87134192
Binary 101001100011000111111110000 (27 bits)
Octal 0o514307760
Hexadecimal 0x5318FF0

Divisor Catalog (40)

1 2 4 8 16 127 137 254 274 313 508 548 626 1,016 1,096 1,252 2,032 2,192 2,504 5,008 17,399 34,798 39,751 42,881 69,596 79,502 85,762 139,192 159,004 171,524 278,384 318,008 343,048 636,016 686,096 5,445,887 10,891,774 21,783,548 43,567,096 87,134,192

Collatz Trajectory (298 steps to reach 1)

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

87,134,192 43,567,096 21,783,548 10,891,774 5,445,887 16,337,662 8,168,831 24,506,494 12,253,247 36,759,742 18,379,871 55,139,614 27,569,807 82,709,422 41,354,711 124,064,134 62,032,067 186,096,202 93,048,101 279,144,304 139,572,152 69,786,076 34,893,038 17,446,519 52,339,558 26,169,779 78,509,338 39,254,669 117,764,008 58,882,004 29,441,002 14,720,501 44,161,504 22,080,752 11,040,376 5,520,188 2,760,094 1,380,047 4,140,142 2,070,071 6,210,214 3,105,107 9,315,322 4,657,661 13,972,984 6,986,492 3,493,246 1,746,623 5,239,870 2,619,935 7,859,806 3,929,903 11,789,710 5,894,855 17,684,566 8,842,283 26,526,850 13,263,425 39,790,276 19,895,138

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