λ
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Atlas › Integer Profiles › Node 70,304,350

70,304,350

2 × 52 × 17 × 107 × 773
Deficient Even Composite

70,304,350 factors as 2 × 5^2 × 17 × 107 × 773. Its 48 positive divisors give a proper-divisor sum of 69,628,658, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 17 × 107 × 773
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 139,933,008
Proper Divisor Sum 69,628,658
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #70304327 ← → #70304411

Radix Representation

Decimal 70304350
Binary 100001100001100001001011110 (27 bits)
Octal 0o414141136
Hexadecimal 0x430C25E

Divisor Catalog (48)

1 2 5 10 17 25 34 50 85 107 170 214 425 535 773 850 1,070 1,546 1,819 2,675 3,638 3,865 5,350 7,730 9,095 13,141 18,190 19,325 26,282 38,650 45,475 65,705 82,711 90,950 131,410 165,422 328,525 413,555 657,050 827,110 1,406,087 2,067,775 2,812,174 4,135,550 7,030,435 14,060,870 35,152,175 70,304,350

Collatz Trajectory (184 steps to reach 1)

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

70,304,350 35,152,175 105,456,526 52,728,263 158,184,790 79,092,395 237,277,186 118,638,593 355,915,780 177,957,890 88,978,945 266,936,836 133,468,418 66,734,209 200,202,628 100,101,314 50,050,657 150,151,972 75,075,986 37,537,993 112,613,980 56,306,990 28,153,495 84,460,486 42,230,243 126,690,730 63,345,365 190,036,096 95,018,048 47,509,024 23,754,512 11,877,256 5,938,628 2,969,314 1,484,657 4,453,972 2,226,986 1,113,493 3,340,480 1,670,240 835,120 417,560 208,780 104,390 52,195 156,586 78,293 234,880 117,440 58,720 29,360 14,680 7,340 3,670 1,835 5,506 2,753 8,260 4,130 2,065

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