λ
Harmonic Matrix

4,671,676

22 × 1167919
Deficient Even Composite

4,671,676 has digital root 1. The neighboring primes are 4671671 and 4671677; its proper-divisor sum differs from the starting integer by -1,167,912.

Prime Factor Structure

Factorization String 2^2 × 1167919
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 8,175,440
Proper Divisor Sum 3,503,764
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4671671 ← → #4671677

Radix Representation

Decimal 4671676
Binary 10001110100100010111100 (23 bits)
Octal 0o21644274
Hexadecimal 0x4748BC

Divisor Catalog (6)

1 2 4 1,167,919 2,335,838 4,671,676

Collatz Trajectory (291 steps to reach 1)

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

4,671,676 2,335,838 1,167,919 3,503,758 1,751,879 5,255,638 2,627,819 7,883,458 3,941,729 11,825,188 5,912,594 2,956,297 8,868,892 4,434,446 2,217,223 6,651,670 3,325,835 9,977,506 4,988,753 14,966,260 7,483,130 3,741,565 11,224,696 5,612,348 2,806,174 1,403,087 4,209,262 2,104,631 6,313,894 3,156,947 9,470,842 4,735,421 14,206,264 7,103,132 3,551,566 1,775,783 5,327,350 2,663,675 7,991,026 3,995,513 11,986,540 5,993,270 2,996,635 8,989,906 4,494,953 13,484,860 6,742,430 3,371,215 10,113,646 5,056,823 15,170,470 7,585,235 22,755,706 11,377,853 34,133,560 17,066,780 8,533,390 4,266,695 12,800,086 6,400,043

More profiles

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