λ
Harmonic Matrix

2,735,288

23 × 341911
Deficient Even Composite

2,735,288 has digital root 8. The neighboring primes are 2735287 and 2735323; its proper-divisor sum differs from the starting integer by -341,896.

Prime Factor Structure

Factorization String 2^3 × 341911
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,128,680
Proper Divisor Sum 2,393,392
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2735287 ← → #2735323

Radix Representation

Decimal 2735288
Binary 1010011011110010111000 (22 bits)
Octal 0o12336270
Hexadecimal 0x29BCB8

Divisor Catalog (8)

1 2 4 8 341,911 683,822 1,367,644 2,735,288

Collatz Trajectory (107 steps to reach 1)

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

2,735,288 1,367,644 683,822 341,911 1,025,734 512,867 1,538,602 769,301 2,307,904 1,153,952 576,976 288,488 144,244 72,122 36,061 108,184 54,092 27,046 13,523 40,570 20,285 60,856 30,428 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360

More profiles

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