λ
Harmonic Matrix

1,072,977

3 × 357659
Deficient Odd Composite

1,072,977 has digital root 6. The neighboring primes are 1072969 and 1072991; its proper-divisor sum differs from the starting integer by -715,314.

Prime Factor Structure

Factorization String 3 × 357659
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,430,640
Proper Divisor Sum 357,663
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1072969 ← → #1072991

Radix Representation

Decimal 1072977
Binary 100000101111101010001 (21 bits)
Octal 0o4057521
Hexadecimal 0x105F51

Divisor Catalog (4)

1 3 357,659 1,072,977

Collatz Trajectory (121 steps to reach 1)

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

1,072,977 3,218,932 1,609,466 804,733 2,414,200 1,207,100 603,550 301,775 905,326 452,663 1,357,990 678,995 2,036,986 1,018,493 3,055,480 1,527,740 763,870 381,935 1,145,806 572,903 1,718,710 859,355 2,578,066 1,289,033 3,867,100 1,933,550 966,775 2,900,326 1,450,163 4,350,490 2,175,245 6,525,736 3,262,868 1,631,434 815,717 2,447,152 1,223,576 611,788 305,894 152,947 458,842 229,421 688,264 344,132 172,066 86,033 258,100 129,050 64,525 193,576 96,788 48,394 24,197 72,592 36,296 18,148 9,074 4,537 13,612 6,806

More profiles

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