λ
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Atlas › Integer Profiles › Node 80,145,895

80,145,895

5 × 19 × 59 × 79 × 181
Deficient Odd Composite

80,145,895 factors as 5 × 19 × 59 × 79 × 181. Its 32 positive divisors give a proper-divisor sum of 24,686,105, so this integer is deficient. The Collatz stopping time is 316 steps.

Prime Factor Structure

Factorization String 5 × 19 × 59 × 79 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 104,832,000
Proper Divisor Sum 24,686,105
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #80145833 ← → #80145917

Radix Representation

Decimal 80145895
Binary 100110001101110110111100111 (27 bits)
Octal 0o461566747
Hexadecimal 0x4C6EDE7

Divisor Catalog (32)

1 5 19 59 79 95 181 295 395 905 1,121 1,501 3,439 4,661 5,605 7,505 10,679 14,299 17,195 23,305 53,395 71,495 88,559 202,901 271,681 442,795 843,641 1,014,505 1,358,405 4,218,205 16,029,179 80,145,895

Collatz Trajectory (316 steps to reach 1)

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

80,145,895 240,437,686 120,218,843 360,656,530 180,328,265 540,984,796 270,492,398 135,246,199 405,738,598 202,869,299 608,607,898 304,303,949 912,911,848 456,455,924 228,227,962 114,113,981 342,341,944 171,170,972 85,585,486 42,792,743 128,378,230 64,189,115 192,567,346 96,283,673 288,851,020 144,425,510 72,212,755 216,638,266 108,319,133 324,957,400 162,478,700 81,239,350 40,619,675 121,859,026 60,929,513 182,788,540 91,394,270 45,697,135 137,091,406 68,545,703 205,637,110 102,818,555 308,455,666 154,227,833 462,683,500 231,341,750 115,670,875 347,012,626 173,506,313 520,518,940 260,259,470 130,129,735 390,389,206 195,194,603 585,583,810 292,791,905 878,375,716 439,187,858 219,593,929 658,781,788

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