λ
Harmonic Matrix

2,977,601

11 × 17 × 15923
Deficient Odd Composite

2,977,601 has digital root 5. The neighboring primes are 2977573 and 2977619; its proper-divisor sum differs from the starting integer by -2,515,618.

Prime Factor Structure

Factorization String 11 × 17 × 15923
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,439,584
Proper Divisor Sum 461,983
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2977573 ← → #2977619

Radix Representation

Decimal 2977601
Binary 1011010110111101000001 (22 bits)
Octal 0o13267501
Hexadecimal 0x2D6F41

Divisor Catalog (8)

1 11 17 187 15,923 175,153 270,691 2,977,601

Collatz Trajectory (120 steps to reach 1)

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

2,977,601 8,932,804 4,466,402 2,233,201 6,699,604 3,349,802 1,674,901 5,024,704 2,512,352 1,256,176 628,088 314,044 157,022 78,511 235,534 117,767 353,302 176,651 529,954 264,977 794,932 397,466 198,733 596,200 298,100 149,050 74,525 223,576 111,788 55,894 27,947 83,842 41,921 125,764 62,882 31,441 94,324 47,162 23,581 70,744 35,372 17,686 8,843 26,530 13,265 39,796 19,898 9,949 29,848 14,924 7,462 3,731 11,194 5,597 16,792 8,396 4,198 2,099 6,298 3,149

More profiles

← Previous Integer #2,977,600 Browse Full Index Next Integer #2,977,602 →