λ
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Atlas › Integer Profiles › Node 90,335,464

90,335,464

23 × 29 × 41 × 9497
Deficient Even Composite

90,335,464 factors as 2^3 × 29 × 41 × 9497. Its 32 positive divisors give a proper-divisor sum of 89,176,736, so this integer is deficient. The Collatz stopping time is 280 steps.

Prime Factor Structure

Factorization String 2^3 × 29 × 41 × 9497
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 179,512,200
Proper Divisor Sum 89,176,736
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #90335447 ← → #90335507

Radix Representation

Decimal 90335464
Binary 101011000100110100011101000 (27 bits)
Octal 0o530464350
Hexadecimal 0x56268E8

Divisor Catalog (32)

1 2 4 8 29 41 58 82 116 164 232 328 1,189 2,378 4,756 9,497 9,512 18,994 37,988 75,976 275,413 389,377 550,826 778,754 1,101,652 1,557,508 2,203,304 3,115,016 11,291,933 22,583,866 45,167,732 90,335,464

Collatz Trajectory (280 steps to reach 1)

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

90,335,464 45,167,732 22,583,866 11,291,933 33,875,800 16,937,900 8,468,950 4,234,475 12,703,426 6,351,713 19,055,140 9,527,570 4,763,785 14,291,356 7,145,678 3,572,839 10,718,518 5,359,259 16,077,778 8,038,889 24,116,668 12,058,334 6,029,167 18,087,502 9,043,751 27,131,254 13,565,627 40,696,882 20,348,441 61,045,324 30,522,662 15,261,331 45,783,994 22,891,997 68,675,992 34,337,996 17,168,998 8,584,499 25,753,498 12,876,749 38,630,248 19,315,124 9,657,562 4,828,781 14,486,344 7,243,172 3,621,586 1,810,793 5,432,380 2,716,190 1,358,095 4,074,286 2,037,143 6,111,430 3,055,715 9,167,146 4,583,573 13,750,720 6,875,360 3,437,680

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