λ
Harmonic Matrix

2,408,762

2 × 31 × 38851
Deficient Even Composite

2,408,762 has digital root 2. The neighboring primes are 2408761 and 2408771; its proper-divisor sum differs from the starting integer by -1,087,732.

Prime Factor Structure

Factorization String 2 × 31 × 38851
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,729,792
Proper Divisor Sum 1,321,030
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2408761 ← → #2408771

Radix Representation

Decimal 2408762
Binary 1001001100000100111010 (22 bits)
Octal 0o11140472
Hexadecimal 0x24C13A

Divisor Catalog (8)

1 2 31 62 38,851 77,702 1,204,381 2,408,762

Collatz Trajectory (267 steps to reach 1)

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

2,408,762 1,204,381 3,613,144 1,806,572 903,286 451,643 1,354,930 677,465 2,032,396 1,016,198 508,099 1,524,298 762,149 2,286,448 1,143,224 571,612 285,806 142,903 428,710 214,355 643,066 321,533 964,600 482,300 241,150 120,575 361,726 180,863 542,590 271,295 813,886 406,943 1,220,830 610,415 1,831,246 915,623 2,746,870 1,373,435 4,120,306 2,060,153 6,180,460 3,090,230 1,545,115 4,635,346 2,317,673 6,953,020 3,476,510 1,738,255 5,214,766 2,607,383 7,822,150 3,911,075 11,733,226 5,866,613 17,599,840 8,799,920 4,399,960 2,199,980 1,099,990 549,995

More profiles

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