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Atlas › Integer Profiles › Node 30,697,155

30,697,155

32 × 5 × 17 × 40127
Deficient Odd Composite

30,697,155 factors as 3^2 × 5 × 17 × 40127. Its 24 positive divisors give a proper-divisor sum of 25,642,557, so this integer is deficient. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 17 × 40127
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 56,339,712
Proper Divisor Sum 25,642,557
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #30697153 ← → #30697187

Radix Representation

Decimal 30697155
Binary 1110101000110011011000011 (25 bits)
Octal 0o165063303
Hexadecimal 0x1D466C3

Divisor Catalog (24)

1 3 5 9 15 17 45 51 85 153 255 765 40,127 120,381 200,635 361,143 601,905 682,159 1,805,715 2,046,477 3,410,795 6,139,431 10,232,385 30,697,155

Collatz Trajectory (219 steps to reach 1)

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

30,697,155 92,091,466 46,045,733 138,137,200 69,068,600 34,534,300 17,267,150 8,633,575 25,900,726 12,950,363 38,851,090 19,425,545 58,276,636 29,138,318 14,569,159 43,707,478 21,853,739 65,561,218 32,780,609 98,341,828 49,170,914 24,585,457 73,756,372 36,878,186 18,439,093 55,317,280 27,658,640 13,829,320 6,914,660 3,457,330 1,728,665 5,185,996 2,592,998 1,296,499 3,889,498 1,944,749 5,834,248 2,917,124 1,458,562 729,281 2,187,844 1,093,922 546,961 1,640,884 820,442 410,221 1,230,664 615,332 307,666 153,833 461,500 230,750 115,375 346,126 173,063 519,190 259,595 778,786 389,393 1,168,180

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