λ
Harmonic Matrix

2,978,740

22 × 5 × 17 × 8761
Abundant Even Composite

2,978,740 has digital root 1. The neighboring primes are 2978737 and 2978749; its proper-divisor sum differs from the starting integer by 666,592.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 8761
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,624,072
Proper Divisor Sum 3,645,332
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2978737 ← → #2978749

Radix Representation

Decimal 2978740
Binary 1011010111001110110100 (22 bits)
Octal 0o13271664
Hexadecimal 0x2D73B4

Divisor Catalog (24)

1 2 4 5 10 17 20 34 68 85 170 340 8,761 17,522 35,044 43,805 87,610 148,937 175,220 297,874 595,748 744,685 1,489,370 2,978,740

Collatz Trajectory (151 steps to reach 1)

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

2,978,740 1,489,370 744,685 2,234,056 1,117,028 558,514 279,257 837,772 418,886 209,443 628,330 314,165 942,496 471,248 235,624 117,812 58,906 29,453 88,360 44,180 22,090 11,045 33,136 16,568 8,284 4,142 2,071 6,214 3,107 9,322 4,661 13,984 6,992 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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