λ
Harmonic Matrix

1,007,041

7 × 293 × 491
Deficient Odd Composite

1,007,041 has digital root 4. The neighboring primes are 1007023 and 1007047; its proper-divisor sum differs from the starting integer by -856,898.

Prime Factor Structure

Factorization String 7 × 293 × 491
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,157,184
Proper Divisor Sum 150,143
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #1007023 ← → #1007047

Radix Representation

Decimal 1007041
Binary 11110101110111000001 (20 bits)
Octal 0o3656701
Hexadecimal 0xF5DC1

Divisor Catalog (8)

1 7 293 491 2,051 3,437 143,863 1,007,041

Collatz Trajectory (90 steps to reach 1)

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

1,007,041 3,021,124 1,510,562 755,281 2,265,844 1,132,922 566,461 1,699,384 849,692 424,846 212,423 637,270 318,635 955,906 477,953 1,433,860 716,930 358,465 1,075,396 537,698 268,849 806,548 403,274 201,637 604,912 302,456 151,228 75,614 37,807 113,422 56,711 170,134 85,067 255,202 127,601 382,804 191,402 95,701 287,104 143,552 71,776 35,888 17,944 8,972 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066

More profiles

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