λ
Ratio Atlas

2,199,875

53 × 17599
Deficient Odd Composite

2,199,875 factors as 5^3 × 17599. Its 8 positive divisors give a proper-divisor sum of 545,725, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 5^3 × 17599
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,745,600
Proper Divisor Sum 545,725
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #2199859 ← → #2199889

Radix Representation

Decimal 2199875
Binary 1000011001000101000011 (22 bits)
Octal 0o10310503
Hexadecimal 0x219143

Divisor Catalog (8)

1 5 25 125 17,599 87,995 439,975 2,199,875

Collatz Trajectory (91 steps to reach 1)

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

2,199,875 6,599,626 3,299,813 9,899,440 4,949,720 2,474,860 1,237,430 618,715 1,856,146 928,073 2,784,220 1,392,110 696,055 2,088,166 1,044,083 3,132,250 1,566,125 4,698,376 2,349,188 1,174,594 587,297 1,761,892 880,946 440,473 1,321,420 660,710 330,355 991,066 495,533 1,486,600 743,300 371,650 185,825 557,476 278,738 139,369 418,108 209,054 104,527 313,582 156,791 470,374 235,187 705,562 352,781 1,058,344 529,172 264,586 132,293 396,880 198,440 99,220 49,610 24,805 74,416 37,208 18,604 9,302 4,651 13,954

More profiles

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