λ
Harmonic Matrix

5,628,775

52 × 61 × 3691
Deficient Odd Composite

5,628,775 has digital root 4. The neighboring primes are 5628757 and 5628793; its proper-divisor sum differs from the starting integer by -4,161,526.

Prime Factor Structure

Factorization String 5^2 × 61 × 3691
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,096,024
Proper Divisor Sum 1,467,249
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5628757 ← → #5628793

Radix Representation

Decimal 5628775
Binary 10101011110001101100111 (23 bits)
Octal 0o25361547
Hexadecimal 0x55E367

Divisor Catalog (12)

1 5 25 61 305 1,525 3,691 18,455 92,275 225,151 1,125,755 5,628,775

Collatz Trajectory (170 steps to reach 1)

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

5,628,775 16,886,326 8,443,163 25,329,490 12,664,745 37,994,236 18,997,118 9,498,559 28,495,678 14,247,839 42,743,518 21,371,759 64,115,278 32,057,639 96,172,918 48,086,459 144,259,378 72,129,689 216,389,068 108,194,534 54,097,267 162,291,802 81,145,901 243,437,704 121,718,852 60,859,426 30,429,713 91,289,140 45,644,570 22,822,285 68,466,856 34,233,428 17,116,714 8,558,357 25,675,072 12,837,536 6,418,768 3,209,384 1,604,692 802,346 401,173 1,203,520 601,760 300,880 150,440 75,220 37,610 18,805 56,416 28,208 14,104 7,052 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992

More profiles

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