λ
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Atlas › Integer Profiles › Node 80,562,274

80,562,274

2 × 13 × 67 × 103 × 449
Deficient Even Composite

80,562,274 factors as 2 × 13 × 67 × 103 × 449. Its 32 positive divisors give a proper-divisor sum of 53,098,526, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2 × 13 × 67 × 103 × 449
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 133,660,800
Proper Divisor Sum 53,098,526
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #80562259 ← → #80562301

Radix Representation

Decimal 80562274
Binary 100110011010100100001100010 (27 bits)
Octal 0o463244142
Hexadecimal 0x4CD4862

Divisor Catalog (32)

1 2 13 26 67 103 134 206 449 871 898 1,339 1,742 2,678 5,837 6,901 11,674 13,802 30,083 46,247 60,166 89,713 92,494 179,426 391,079 601,211 782,158 1,202,422 3,098,549 6,197,098 40,281,137 80,562,274

Collatz Trajectory (117 steps to reach 1)

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

80,562,274 40,281,137 120,843,412 60,421,706 30,210,853 90,632,560 45,316,280 22,658,140 11,329,070 5,664,535 16,993,606 8,496,803 25,490,410 12,745,205 38,235,616 19,117,808 9,558,904 4,779,452 2,389,726 1,194,863 3,584,590 1,792,295 5,376,886 2,688,443 8,065,330 4,032,665 12,097,996 6,048,998 3,024,499 9,073,498 4,536,749 13,610,248 6,805,124 3,402,562 1,701,281 5,103,844 2,551,922 1,275,961 3,827,884 1,913,942 956,971 2,870,914 1,435,457 4,306,372 2,153,186 1,076,593 3,229,780 1,614,890 807,445 2,422,336 1,211,168 605,584 302,792 151,396 75,698 37,849 113,548 56,774 28,387 85,162

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