λ
Harmonic Matrix

2,532,605

5 × 19 × 53 × 503
Deficient Odd Composite

2,532,605 has digital root 5. The neighboring primes are 2532601 and 2532637; its proper-divisor sum differs from the starting integer by -1,799,290.

Prime Factor Structure

Factorization String 5 × 19 × 53 × 503
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,265,920
Proper Divisor Sum 733,315
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2532601 ← → #2532637

Radix Representation

Decimal 2532605
Binary 1001101010010011111101 (22 bits)
Octal 0o11522375
Hexadecimal 0x26A4FD

Divisor Catalog (16)

1 5 19 53 95 265 503 1,007 2,515 5,035 9,557 26,659 47,785 133,295 506,521 2,532,605

Collatz Trajectory (293 steps to reach 1)

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

2,532,605 7,597,816 3,798,908 1,899,454 949,727 2,849,182 1,424,591 4,273,774 2,136,887 6,410,662 3,205,331 9,615,994 4,807,997 14,423,992 7,211,996 3,605,998 1,802,999 5,408,998 2,704,499 8,113,498 4,056,749 12,170,248 6,085,124 3,042,562 1,521,281 4,563,844 2,281,922 1,140,961 3,422,884 1,711,442 855,721 2,567,164 1,283,582 641,791 1,925,374 962,687 2,888,062 1,444,031 4,332,094 2,166,047 6,498,142 3,249,071 9,747,214 4,873,607 14,620,822 7,310,411 21,931,234 10,965,617 32,896,852 16,448,426 8,224,213 24,672,640 12,336,320 6,168,160 3,084,080 1,542,040 771,020 385,510 192,755 578,266

More profiles

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