λ
Harmonic Matrix

6,387,787

72 × 130363
Deficient Odd Composite

6,387,787 has digital root 1. The neighboring primes are 6387761 and 6387803; its proper-divisor sum differs from the starting integer by -5,344,826.

Prime Factor Structure

Factorization String 7^2 × 130363
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 7,430,748
Proper Divisor Sum 1,042,961
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #6387761 ← → #6387803

Radix Representation

Decimal 6387787
Binary 11000010111100001001011 (23 bits)
Octal 0o30274113
Hexadecimal 0x61784B

Divisor Catalog (6)

1 7 49 130,363 912,541 6,387,787

Collatz Trajectory (121 steps to reach 1)

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

6,387,787 19,163,362 9,581,681 28,745,044 14,372,522 7,186,261 21,558,784 10,779,392 5,389,696 2,694,848 1,347,424 673,712 336,856 168,428 84,214 42,107 126,322 63,161 189,484 94,742 47,371 142,114 71,057 213,172 106,586 53,293 159,880 79,940 39,970 19,985 59,956 29,978 14,989 44,968 22,484 11,242 5,621 16,864 8,432 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132

More profiles

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