λ
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Atlas › Integer Profiles › Node 4,482,735

4,482,735

3 × 5 × 37 × 41 × 197
Deficient Odd Composite

4,482,735 factors as 3 × 5 × 37 × 41 × 197. Its 32 positive divisors give a proper-divisor sum of 3,101,457, so this integer is deficient. The Collatz stopping time is 348 steps.

Prime Factor Structure

Factorization String 3 × 5 × 37 × 41 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,584,192
Proper Divisor Sum 3,101,457
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4482721 ← → #4482739

Radix Representation

Decimal 4482735
Binary 10001000110011010101111 (23 bits)
Octal 0o21063257
Hexadecimal 0x4466AF

Divisor Catalog (32)

1 3 5 15 37 41 111 123 185 197 205 555 591 615 985 1,517 2,955 4,551 7,289 7,585 8,077 21,867 22,755 24,231 36,445 40,385 109,335 121,155 298,849 896,547 1,494,245 4,482,735

Collatz Trajectory (348 steps to reach 1)

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

4,482,735 13,448,206 6,724,103 20,172,310 10,086,155 30,258,466 15,129,233 45,387,700 22,693,850 11,346,925 34,040,776 17,020,388 8,510,194 4,255,097 12,765,292 6,382,646 3,191,323 9,573,970 4,786,985 14,360,956 7,180,478 3,590,239 10,770,718 5,385,359 16,156,078 8,078,039 24,234,118 12,117,059 36,351,178 18,175,589 54,526,768 27,263,384 13,631,692 6,815,846 3,407,923 10,223,770 5,111,885 15,335,656 7,667,828 3,833,914 1,916,957 5,750,872 2,875,436 1,437,718 718,859 2,156,578 1,078,289 3,234,868 1,617,434 808,717 2,426,152 1,213,076 606,538 303,269 909,808 454,904 227,452 113,726 56,863 170,590

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