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Atlas › Integer Profiles › Node 7,129,598

7,129,598

2 × 73 × 19 × 547
Deficient Even Composite

7,129,598 factors as 2 × 7^3 × 19 × 547. Its 32 positive divisors give a proper-divisor sum of 6,022,402, so this integer is deficient. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2 × 7^3 × 19 × 547
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,152,000
Proper Divisor Sum 6,022,402
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7129589 ← → #7129601

Radix Representation

Decimal 7129598
Binary 11011001100100111111110 (23 bits)
Octal 0o33144776
Hexadecimal 0x6CC9FE

Divisor Catalog (32)

1 2 7 14 19 38 49 98 133 266 343 547 686 931 1,094 1,862 3,829 6,517 7,658 10,393 13,034 20,786 26,803 53,606 72,751 145,502 187,621 375,242 509,257 1,018,514 3,564,799 7,129,598

Collatz Trajectory (222 steps to reach 1)

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

7,129,598 3,564,799 10,694,398 5,347,199 16,041,598 8,020,799 24,062,398 12,031,199 36,093,598 18,046,799 54,140,398 27,070,199 81,210,598 40,605,299 121,815,898 60,907,949 182,723,848 91,361,924 45,680,962 22,840,481 68,521,444 34,260,722 17,130,361 51,391,084 25,695,542 12,847,771 38,543,314 19,271,657 57,814,972 28,907,486 14,453,743 43,361,230 21,680,615 65,041,846 32,520,923 97,562,770 48,781,385 146,344,156 73,172,078 36,586,039 109,758,118 54,879,059 164,637,178 82,318,589 246,955,768 123,477,884 61,738,942 30,869,471 92,608,414 46,304,207 138,912,622 69,456,311 208,368,934 104,184,467 312,553,402 156,276,701 468,830,104 234,415,052 117,207,526 58,603,763

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