1,007,409

3 × 13² × 1987

1,007,409 has digital root 3. The neighboring primes are 1007401 and 1007417; its proper-divisor sum differs from the starting integer by -559,602.

Prime Factor Structure

Factorization String 3 × 13^2 × 1987

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,455,216

Proper Divisor Sum 447,807

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1007401 ← → #1007417

Radix Representation

Decimal	1007409
Binary	11110101111100110001 (20 bits)
Octal	0o3657461
Hexadecimal	0xF5F31

Divisor Catalog (12)

1 3 13 39 169 507 1,987 5,961 25,831 77,493 335,803 1,007,409

Collatz Trajectory (90 steps to reach 1)

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

1,007,409 3,022,228 1,511,114 755,557 2,266,672 1,133,336 566,668 283,334 141,667 425,002 212,501 637,504 318,752 159,376 79,688 39,844 19,922 9,961 29,884 14,942 7,471 22,414 11,207 33,622 16,811 50,434 25,217 75,652 37,826 18,913 56,740 28,370 14,185 42,556 21,278 10,639 31,918 15,959 47,878 23,939 71,818 35,909 107,728 53,864 26,932 13,466 6,733 20,200 10,100 5,050 2,525 7,576 3,788 1,894 947 2,842 1,421 4,264 2,132 1,066

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