λ
Harmonic Matrix

2,880,215

5 × 13 × 73 × 607
Deficient Odd Composite

2,880,215 has digital root 8. The neighboring primes are 2880197 and 2880223; its proper-divisor sum differs from the starting integer by -1,981,102.

Prime Factor Structure

Factorization String 5 × 13 × 73 × 607
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,779,328
Proper Divisor Sum 899,113
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2880197 ← → #2880223

Radix Representation

Decimal 2880215
Binary 1010111111001011010111 (22 bits)
Octal 0o12771327
Hexadecimal 0x2BF2D7

Divisor Catalog (16)

1 5 13 65 73 365 607 949 3,035 4,745 7,891 39,455 44,311 221,555 576,043 2,880,215

Collatz Trajectory (350 steps to reach 1)

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

2,880,215 8,640,646 4,320,323 12,960,970 6,480,485 19,441,456 9,720,728 4,860,364 2,430,182 1,215,091 3,645,274 1,822,637 5,467,912 2,733,956 1,366,978 683,489 2,050,468 1,025,234 512,617 1,537,852 768,926 384,463 1,153,390 576,695 1,730,086 865,043 2,595,130 1,297,565 3,892,696 1,946,348 973,174 486,587 1,459,762 729,881 2,189,644 1,094,822 547,411 1,642,234 821,117 2,463,352 1,231,676 615,838 307,919 923,758 461,879 1,385,638 692,819 2,078,458 1,039,229 3,117,688 1,558,844 779,422 389,711 1,169,134 584,567 1,753,702 876,851 2,630,554 1,315,277 3,945,832

More profiles

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