λ
Harmonic Matrix

2,710,271

73 × 137 × 271
Deficient Odd Composite

2,710,271 has digital root 2. The neighboring primes are 2710249 and 2710273; its proper-divisor sum differs from the starting integer by -2,642,878.

Prime Factor Structure

Factorization String 73 × 137 × 271
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,777,664
Proper Divisor Sum 67,393
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2710249 ← → #2710273

Radix Representation

Decimal 2710271
Binary 1010010101101011111111 (22 bits)
Octal 0o12255377
Hexadecimal 0x295AFF

Divisor Catalog (8)

1 73 137 271 10,001 19,783 37,127 2,710,271

Collatz Trajectory (244 steps to reach 1)

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

2,710,271 8,130,814 4,065,407 12,196,222 6,098,111 18,294,334 9,147,167 27,441,502 13,720,751 41,162,254 20,581,127 61,743,382 30,871,691 92,615,074 46,307,537 138,922,612 69,461,306 34,730,653 104,191,960 52,095,980 26,047,990 13,023,995 39,071,986 19,535,993 58,607,980 29,303,990 14,651,995 43,955,986 21,977,993 65,933,980 32,966,990 16,483,495 49,450,486 24,725,243 74,175,730 37,087,865 111,263,596 55,631,798 27,815,899 83,447,698 41,723,849 125,171,548 62,585,774 31,292,887 93,878,662 46,939,331 140,817,994 70,408,997 211,226,992 105,613,496 52,806,748 26,403,374 13,201,687 39,605,062 19,802,531 59,407,594 29,703,797 89,111,392 44,555,696 22,277,848

More profiles

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