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Atlas › Integer Profiles › Node 80,977,970

80,977,970

2 × 5 × 17 × 503 × 947
Deficient Even Composite

80,977,970 factors as 2 × 5 × 17 × 503 × 947. Its 32 positive divisors give a proper-divisor sum of 73,826,638, so this integer is deficient. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 503 × 947
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 154,804,608
Proper Divisor Sum 73,826,638
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #80977961 ← → #80977973

Radix Representation

Decimal 80977970
Binary 100110100111010000000110010 (27 bits)
Octal 0o464720062
Hexadecimal 0x4D3A032

Divisor Catalog (32)

1 2 5 10 17 34 85 170 503 947 1,006 1,894 2,515 4,735 5,030 8,551 9,470 16,099 17,102 32,198 42,755 80,495 85,510 160,990 476,341 952,682 2,381,705 4,763,410 8,097,797 16,195,594 40,488,985 80,977,970

Collatz Trajectory (254 steps to reach 1)

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

80,977,970 40,488,985 121,466,956 60,733,478 30,366,739 91,100,218 45,550,109 136,650,328 68,325,164 34,162,582 17,081,291 51,243,874 25,621,937 76,865,812 38,432,906 19,216,453 57,649,360 28,824,680 14,412,340 7,206,170 3,603,085 10,809,256 5,404,628 2,702,314 1,351,157 4,053,472 2,026,736 1,013,368 506,684 253,342 126,671 380,014 190,007 570,022 285,011 855,034 427,517 1,282,552 641,276 320,638 160,319 480,958 240,479 721,438 360,719 1,082,158 541,079 1,623,238 811,619 2,434,858 1,217,429 3,652,288 1,826,144 913,072 456,536 228,268 114,134 57,067 171,202 85,601

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