λ
Ratio Atlas

4,221,495

32 × 5 × 93811
Deficient Odd Composite

4,221,495 factors as 3^2 × 5 × 93811. Its 12 positive divisors give a proper-divisor sum of 3,095,841, so this integer is deficient. The Collatz stopping time is 304 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 93811
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,317,336
Proper Divisor Sum 3,095,841
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4221479 ← → #4221499

Radix Representation

Decimal 4221495
Binary 10000000110101000110111 (23 bits)
Octal 0o20065067
Hexadecimal 0x406A37

Divisor Catalog (12)

1 3 5 9 15 45 93,811 281,433 469,055 844,299 1,407,165 4,221,495

Collatz Trajectory (304 steps to reach 1)

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

4,221,495 12,664,486 6,332,243 18,996,730 9,498,365 28,495,096 14,247,548 7,123,774 3,561,887 10,685,662 5,342,831 16,028,494 8,014,247 24,042,742 12,021,371 36,064,114 18,032,057 54,096,172 27,048,086 13,524,043 40,572,130 20,286,065 60,858,196 30,429,098 15,214,549 45,643,648 22,821,824 11,410,912 5,705,456 2,852,728 1,426,364 713,182 356,591 1,069,774 534,887 1,604,662 802,331 2,406,994 1,203,497 3,610,492 1,805,246 902,623 2,707,870 1,353,935 4,061,806 2,030,903 6,092,710 3,046,355 9,139,066 4,569,533 13,708,600 6,854,300 3,427,150 1,713,575 5,140,726 2,570,363 7,711,090 3,855,545 11,566,636 5,783,318

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