λ
Harmonic Matrix

4,826,815

5 × 7 × 137909
Deficient Odd Composite

4,826,815 has digital root 7. The neighboring primes are 4826813 and 4826831; its proper-divisor sum differs from the starting integer by -3,033,950.

Prime Factor Structure

Factorization String 5 × 7 × 137909
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,619,680
Proper Divisor Sum 1,792,865
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4826813 ← → #4826831

Radix Representation

Decimal 4826815
Binary 10010011010011010111111 (23 bits)
Octal 0o22323277
Hexadecimal 0x49A6BF

Divisor Catalog (8)

1 5 7 35 137,909 689,545 965,363 4,826,815

Collatz Trajectory (237 steps to reach 1)

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

4,826,815 14,480,446 7,240,223 21,720,670 10,860,335 32,581,006 16,290,503 48,871,510 24,435,755 73,307,266 36,653,633 109,960,900 54,980,450 27,490,225 82,470,676 41,235,338 20,617,669 61,853,008 30,926,504 15,463,252 7,731,626 3,865,813 11,597,440 5,798,720 2,899,360 1,449,680 724,840 362,420 181,210 90,605 271,816 135,908 67,954 33,977 101,932 50,966 25,483 76,450 38,225 114,676 57,338 28,669 86,008 43,004 21,502 10,751 32,254 16,127 48,382 24,191 72,574 36,287 108,862 54,431 163,294 81,647 244,942 122,471 367,414 183,707

More profiles

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