λ
Harmonic Matrix

3,607,476

22 × 3 × 300623
Abundant Even Composite

3,607,476 has digital root 6. The neighboring primes are 3607459 and 3607489; its proper-divisor sum differs from the starting integer by 1,202,520.

Prime Factor Structure

Factorization String 2^2 × 3 × 300623
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,417,472
Proper Divisor Sum 4,809,996
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3607459 ← → #3607489

Radix Representation

Decimal 3607476
Binary 1101110000101110110100 (22 bits)
Octal 0o15605664
Hexadecimal 0x370BB4

Divisor Catalog (12)

1 2 3 4 6 12 300,623 601,246 901,869 1,202,492 1,803,738 3,607,476

Collatz Trajectory (71 steps to reach 1)

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

3,607,476 1,803,738 901,869 2,705,608 1,352,804 676,402 338,201 1,014,604 507,302 253,651 760,954 380,477 1,141,432 570,716 285,358 142,679 428,038 214,019 642,058 321,029 963,088 481,544 240,772 120,386 60,193 180,580 90,290 45,145 135,436 67,718 33,859 101,578 50,789 152,368 76,184 38,092 19,046 9,523 28,570 14,285 42,856 21,428 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106

More profiles

← Previous Integer #3,607,475 Browse Full Index Next Integer #3,607,477 →