λ
Harmonic Matrix

2,756,155

5 × 551231
Deficient Odd Composite

2,756,155 has digital root 4. The neighboring primes are 2756153 and 2756161; its proper-divisor sum differs from the starting integer by -2,204,918.

Prime Factor Structure

Factorization String 5 × 551231
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,307,392
Proper Divisor Sum 551,237
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2756153 ← → #2756161

Radix Representation

Decimal 2756155
Binary 1010100000111000111011 (22 bits)
Octal 0o12407073
Hexadecimal 0x2A0E3B

Divisor Catalog (4)

1 5 551,231 2,756,155

Collatz Trajectory (112 steps to reach 1)

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

2,756,155 8,268,466 4,134,233 12,402,700 6,201,350 3,100,675 9,302,026 4,651,013 13,953,040 6,976,520 3,488,260 1,744,130 872,065 2,616,196 1,308,098 654,049 1,962,148 981,074 490,537 1,471,612 735,806 367,903 1,103,710 551,855 1,655,566 827,783 2,483,350 1,241,675 3,725,026 1,862,513 5,587,540 2,793,770 1,396,885 4,190,656 2,095,328 1,047,664 523,832 261,916 130,958 65,479 196,438 98,219 294,658 147,329 441,988 220,994 110,497 331,492 165,746 82,873 248,620 124,310 62,155 186,466 93,233 279,700 139,850 69,925 209,776 104,888

More profiles

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