λ
Harmonic Matrix

2,716,651

7 × 17 × 37 × 617
Deficient Odd Composite

2,716,651 has digital root 1. The neighboring primes are 2716613 and 2716661; its proper-divisor sum differs from the starting integer by -2,051,606.

Prime Factor Structure

Factorization String 7 × 17 × 37 × 617
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,381,696
Proper Divisor Sum 665,045
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2716613 ← → #2716661

Radix Representation

Decimal 2716651
Binary 1010010111001111101011 (22 bits)
Octal 0o12271753
Hexadecimal 0x2973EB

Divisor Catalog (16)

1 7 17 37 119 259 617 629 4,319 4,403 10,489 22,829 73,423 159,803 388,093 2,716,651

Collatz Trajectory (112 steps to reach 1)

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

2,716,651 8,149,954 4,074,977 12,224,932 6,112,466 3,056,233 9,168,700 4,584,350 2,292,175 6,876,526 3,438,263 10,314,790 5,157,395 15,472,186 7,736,093 23,208,280 11,604,140 5,802,070 2,901,035 8,703,106 4,351,553 13,054,660 6,527,330 3,263,665 9,790,996 4,895,498 2,447,749 7,343,248 3,671,624 1,835,812 917,906 458,953 1,376,860 688,430 344,215 1,032,646 516,323 1,548,970 774,485 2,323,456 1,161,728 580,864 290,432 145,216 72,608 36,304 18,152 9,076 4,538 2,269 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479

More profiles

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