λ
Harmonic Matrix

2,500,917

3 × 47 × 17737
Deficient Odd Composite

2,500,917 has digital root 6. The neighboring primes are 2500891 and 2500919; its proper-divisor sum differs from the starting integer by -1,596,138.

Prime Factor Structure

Factorization String 3 × 47 × 17737
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,405,696
Proper Divisor Sum 904,779
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2500891 ← → #2500919

Radix Representation

Decimal 2500917
Binary 1001100010100100110101 (22 bits)
Octal 0o11424465
Hexadecimal 0x262935

Divisor Catalog (8)

1 3 47 141 17,737 53,211 833,639 2,500,917

Collatz Trajectory (174 steps to reach 1)

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

2,500,917 7,502,752 3,751,376 1,875,688 937,844 468,922 234,461 703,384 351,692 175,846 87,923 263,770 131,885 395,656 197,828 98,914 49,457 148,372 74,186 37,093 111,280 55,640 27,820 13,910 6,955 20,866 10,433 31,300 15,650 7,825 23,476 11,738 5,869 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442

More profiles

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