λ
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5,229,987

3 × 7 × 37 × 53 × 127
Deficient Odd Composite

5,229,987 factors as 3 × 7 × 37 × 53 × 127. Its 32 positive divisors give a proper-divisor sum of 3,175,005, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 3 × 7 × 37 × 53 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,404,992
Proper Divisor Sum 3,175,005
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5229971 ← → #5229989

Radix Representation

Decimal 5229987
Binary 10011111100110110100011 (23 bits)
Octal 0o23746643
Hexadecimal 0x4FCDA3

Divisor Catalog (32)

1 3 7 21 37 53 111 127 159 259 371 381 777 889 1,113 1,961 2,667 4,699 5,883 6,731 13,727 14,097 20,193 32,893 41,181 47,117 98,679 141,351 249,047 747,141 1,743,329 5,229,987

Collatz Trajectory (188 steps to reach 1)

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

5,229,987 15,689,962 7,844,981 23,534,944 11,767,472 5,883,736 2,941,868 1,470,934 735,467 2,206,402 1,103,201 3,309,604 1,654,802 827,401 2,482,204 1,241,102 620,551 1,861,654 930,827 2,792,482 1,396,241 4,188,724 2,094,362 1,047,181 3,141,544 1,570,772 785,386 392,693 1,178,080 589,040 294,520 147,260 73,630 36,815 110,446 55,223 165,670 82,835 248,506 124,253 372,760 186,380 93,190 46,595 139,786 69,893 209,680 104,840 52,420 26,210 13,105 39,316 19,658 9,829 29,488 14,744 7,372 3,686 1,843 5,530

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