λ
Ratio Atlas

88,023,166

2 × 7 × 11 × 571579
Deficient Even Composite

88,023,166 factors as 2 × 7 × 11 × 571579. Its 16 positive divisors give a proper-divisor sum of 76,591,874, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 571579
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 164,615,040
Proper Divisor Sum 76,591,874
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #88023163 ← → #88023179

Radix Representation

Decimal 88023166
Binary 101001111110010000001111110 (27 bits)
Octal 0o517620176
Hexadecimal 0x53F207E

Divisor Catalog (16)

Collatz Trajectory (112 steps to reach 1)

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

88,023,166 44,011,583 132,034,750 66,017,375 198,052,126 99,026,063 297,078,190 148,539,095 445,617,286 222,808,643 668,425,930 334,212,965 1,002,638,896 501,319,448 250,659,724 125,329,862 62,664,931 187,994,794 93,997,397 281,992,192 140,996,096 70,498,048 35,249,024 17,624,512 8,812,256 4,406,128 2,203,064 1,101,532 550,766 275,383 826,150 413,075 1,239,226 619,613 1,858,840 929,420 464,710 232,355 697,066 348,533 1,045,600 522,800 261,400 130,700 65,350 32,675 98,026 49,013 147,040 73,520 36,760 18,380 9,190 4,595 13,786 6,893 20,680 10,340 5,170 2,585

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