λ
Harmonic Matrix

2,961,152

28 × 43 × 269
Abundant Even Composite

2,961,152 has digital root 8. The neighboring primes are 2961149 and 2961187; its proper-divisor sum differs from the starting integer by 148,376.

Prime Factor Structure

Factorization String 2^8 × 43 × 269
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,070,680
Proper Divisor Sum 3,109,528
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2961149 ← → #2961187

Radix Representation

Decimal 2961152
Binary 1011010010111100000000 (22 bits)
Octal 0o13227400
Hexadecimal 0x2D2F00

Divisor Catalog (36)

1 2 4 8 16 32 43 64 86 128 172 256 269 344 538 688 1,076 1,376 2,152 2,752 4,304 5,504 8,608 11,008 11,567 17,216 23,134 34,432 46,268 68,864 92,536 185,072 370,144 740,288 1,480,576 2,961,152

Collatz Trajectory (138 steps to reach 1)

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

2,961,152 1,480,576 740,288 370,144 185,072 92,536 46,268 23,134 11,567 34,702 17,351 52,054 26,027 78,082 39,041 117,124 58,562 29,281 87,844 43,922 21,961 65,884 32,942 16,471 49,414 24,707 74,122 37,061 111,184 55,592 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526

More profiles

← Previous Integer #2,961,151 Browse Full Index Next Integer #2,961,153 →