λ
Harmonic Matrix

1,015,048

23 × 181 × 701
Deficient Even Composite

1,015,048 has digital root 1. The neighboring primes are 1015043 and 1015051; its proper-divisor sum differs from the starting integer by -113,636.

Prime Factor Structure

Factorization String 2^3 × 181 × 701
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,916,460
Proper Divisor Sum 901,412
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1015043 ← → #1015051

Radix Representation

Decimal 1015048
Binary 11110111110100001000 (20 bits)
Octal 0o3676410
Hexadecimal 0xF7D08

Divisor Catalog (16)

1 2 4 8 181 362 701 724 1,402 1,448 2,804 5,608 126,881 253,762 507,524 1,015,048

Collatz Trajectory (170 steps to reach 1)

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

1,015,048 507,524 253,762 126,881 380,644 190,322 95,161 285,484 142,742 71,371 214,114 107,057 321,172 160,586 80,293 240,880 120,440 60,220 30,110 15,055 45,166 22,583 67,750 33,875 101,626 50,813 152,440 76,220 38,110 19,055 57,166 28,583 85,750 42,875 128,626 64,313 192,940 96,470 48,235 144,706 72,353 217,060 108,530 54,265 162,796 81,398 40,699 122,098 61,049 183,148 91,574 45,787 137,362 68,681 206,044 103,022 51,511 154,534 77,267 231,802

More profiles

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