λ
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Atlas › Integer Profiles › Node 78,150,010

78,150,010

2 × 5 × 89 × 277 × 317
Deficient Even Composite

78,150,010 factors as 2 × 5 × 89 × 277 × 317. Its 32 positive divisors give a proper-divisor sum of 65,064,470, so this integer is deficient. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 2 × 5 × 89 × 277 × 317
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 143,214,480
Proper Divisor Sum 65,064,470
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #78149999 ← → #78150019

Radix Representation

Decimal 78150010
Binary 100101010000111100101111010 (27 bits)
Octal 0o452074572
Hexadecimal 0x4A8797A

Divisor Catalog (32)

1 2 5 10 89 178 277 317 445 554 634 890 1,385 1,585 2,770 3,170 24,653 28,213 49,306 56,426 87,809 123,265 141,065 175,618 246,530 282,130 439,045 878,090 7,815,001 15,630,002 39,075,005 78,150,010

Collatz Trajectory (65 steps to reach 1)

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

78,150,010 39,075,005 117,225,016 58,612,508 29,306,254 14,653,127 43,959,382 21,979,691 65,939,074 32,969,537 98,908,612 49,454,306 24,727,153 74,181,460 37,090,730 18,545,365 55,636,096 27,818,048 13,909,024 6,954,512 3,477,256 1,738,628 869,314 434,657 1,303,972 651,986 325,993 977,980 488,990 244,495 733,486 366,743 1,100,230 550,115 1,650,346 825,173 2,475,520 1,237,760 618,880 309,440 154,720 77,360 38,680 19,340 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128 64

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