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Atlas › Integer Profiles › Node 17,282,985

17,282,985

3 × 5 × 29 × 67 × 593
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 29 × 67 × 593
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,082,240
Proper Divisor Sum 11,799,255
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #17282983 ← → #17283001

Radix Representation

Decimal 17282985
Binary 1000001111011011110101001 (25 bits)
Octal 0o101733651
Hexadecimal 0x107B7A9

Divisor Catalog (32)

1 3 5 15 29 67 87 145 201 335 435 593 1,005 1,779 1,943 2,965 5,829 8,895 9,715 17,197 29,145 39,731 51,591 85,985 119,193 198,655 257,955 595,965 1,152,199 3,456,597 5,760,995 17,282,985

Collatz Trajectory (350 steps to reach 1)

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

17,282,985 51,848,956 25,924,478 12,962,239 38,886,718 19,443,359 58,330,078 29,165,039 87,495,118 43,747,559 131,242,678 65,621,339 196,864,018 98,432,009 295,296,028 147,648,014 73,824,007 221,472,022 110,736,011 332,208,034 166,104,017 498,312,052 249,156,026 124,578,013 373,734,040 186,867,020 93,433,510 46,716,755 140,150,266 70,075,133 210,225,400 105,112,700 52,556,350 26,278,175 78,834,526 39,417,263 118,251,790 59,125,895 177,377,686 88,688,843 266,066,530 133,033,265 399,099,796 199,549,898 99,774,949 299,324,848 149,662,424 74,831,212 37,415,606 18,707,803 56,123,410 28,061,705 84,185,116 42,092,558 21,046,279 63,138,838 31,569,419 94,708,258 47,354,129 142,062,388

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