λ
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Atlas › Integer Profiles › Node 5,441,895

5,441,895

32 × 5 × 31 × 47 × 83
Deficient Odd Composite

5,441,895 factors as 3^2 × 5 × 31 × 47 × 83. Its 48 positive divisors give a proper-divisor sum of 4,621,977, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 31 × 47 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,063,872
Proper Divisor Sum 4,621,977
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5441873 ← → #5441899

Radix Representation

Decimal 5441895
Binary 10100110000100101100111 (23 bits)
Octal 0o24604547
Hexadecimal 0x530967

Divisor Catalog (48)

1 3 5 9 15 31 45 47 83 93 141 155 235 249 279 415 423 465 705 747 1,245 1,395 1,457 2,115 2,573 3,735 3,901 4,371 7,285 7,719 11,703 12,865 13,113 19,505 21,855 23,157 35,109 38,595 58,515 65,565 115,785 120,931 175,545 362,793 604,655 1,088,379 1,813,965 5,441,895

Collatz Trajectory (188 steps to reach 1)

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

5,441,895 16,325,686 8,162,843 24,488,530 12,244,265 36,732,796 18,366,398 9,183,199 27,549,598 13,774,799 41,324,398 20,662,199 61,986,598 30,993,299 92,979,898 46,489,949 139,469,848 69,734,924 34,867,462 17,433,731 52,301,194 26,150,597 78,451,792 39,225,896 19,612,948 9,806,474 4,903,237 14,709,712 7,354,856 3,677,428 1,838,714 919,357 2,758,072 1,379,036 689,518 344,759 1,034,278 517,139 1,551,418 775,709 2,327,128 1,163,564 581,782 290,891 872,674 436,337 1,309,012 654,506 327,253 981,760 490,880 245,440 122,720 61,360 30,680 15,340 7,670 3,835 11,506 5,753

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