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Atlas › Integer Profiles › Node 80,949,248

80,949,248

212 × 19763
Deficient Even Composite

80,949,248 factors as 2^12 × 19763. Its 26 positive divisors give a proper-divisor sum of 80,937,676, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^12 × 19763
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 26
Divisor Sum (σ) 161,886,924
Proper Divisor Sum 80,937,676
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #80949233 ← → #80949251

Radix Representation

Decimal 80949248
Binary 100110100110011000000000000 (27 bits)
Octal 0o464630000
Hexadecimal 0x4D33000

Divisor Catalog (26)

1 2 4 8 16 32 64 128 256 512 1,024 2,048 4,096 19,763 39,526 79,052 158,104 316,208 632,416 1,264,832 2,529,664 5,059,328 10,118,656 20,237,312 40,474,624 80,949,248

Collatz Trajectory (179 steps to reach 1)

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

80,949,248 40,474,624 20,237,312 10,118,656 5,059,328 2,529,664 1,264,832 632,416 316,208 158,104 79,052 39,526 19,763 59,290 29,645 88,936 44,468 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398

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