λ
Harmonic Matrix

1,564,861

1564861
Deficient Odd Prime

1,564,861 has digital root 4. The neighboring primes are 1564853 and 1564877; its proper-divisor sum differs from the starting integer by -1,564,860.

Prime Factor Structure

Factorization String 1564861
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,564,862
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1564853 ← → #1564877

Radix Representation

Decimal 1564861
Binary 101111110000010111101 (21 bits)
Octal 0o5760275
Hexadecimal 0x17E0BD

Divisor Catalog (2)

Collatz Trajectory (132 steps to reach 1)

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

1,564,861 4,694,584 2,347,292 1,173,646 586,823 1,760,470 880,235 2,640,706 1,320,353 3,961,060 1,980,530 990,265 2,970,796 1,485,398 742,699 2,228,098 1,114,049 3,342,148 1,671,074 835,537 2,506,612 1,253,306 626,653 1,879,960 939,980 469,990 234,995 704,986 352,493 1,057,480 528,740 264,370 132,185 396,556 198,278 99,139 297,418 148,709 446,128 223,064 111,532 55,766 27,883 83,650 41,825 125,476 62,738 31,369 94,108 47,054 23,527 70,582 35,291 105,874 52,937 158,812 79,406 39,703 119,110 59,555

More profiles

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