λ
Sigma Notebook

4,415,481

32 × 7 × 109 × 643
Deficient Odd Composite

4,415,481 is odd and not a perfect square. Its factorization is 3^2 × 7 × 109 × 643 and its 24 divisors sum to 7,367,360.

Prime Factor Structure

Factorization String 3^2 × 7 × 109 × 643
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,367,360
Proper Divisor Sum 2,951,879
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4415473 ← → #4415497

Radix Representation

Decimal 4415481
Binary 10000110101111111111001 (23 bits)
Octal 0o20657771
Hexadecimal 0x435FF9

Divisor Catalog (24)

1 3 7 9 21 63 109 327 643 763 981 1,929 2,289 4,501 5,787 6,867 13,503 40,509 70,087 210,261 490,609 630,783 1,471,827 4,415,481

Collatz Trajectory (180 steps to reach 1)

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

4,415,481 13,246,444 6,623,222 3,311,611 9,934,834 4,967,417 14,902,252 7,451,126 3,725,563 11,176,690 5,588,345 16,765,036 8,382,518 4,191,259 12,573,778 6,286,889 18,860,668 9,430,334 4,715,167 14,145,502 7,072,751 21,218,254 10,609,127 31,827,382 15,913,691 47,741,074 23,870,537 71,611,612 35,805,806 17,902,903 53,708,710 26,854,355 80,563,066 40,281,533 120,844,600 60,422,300 30,211,150 15,105,575 45,316,726 22,658,363 67,975,090 33,987,545 101,962,636 50,981,318 25,490,659 76,471,978 38,235,989 114,707,968 57,353,984 28,676,992 14,338,496 7,169,248 3,584,624 1,792,312 896,156 448,078 224,039 672,118 336,059 1,008,178

More profiles

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