λ
Harmonic Matrix

1,460,921

7 × 11 × 18973
Deficient Odd Composite

1,460,921 has digital root 5. The neighboring primes are 1460911 and 1460923; its proper-divisor sum differs from the starting integer by -1,100,338.

Prime Factor Structure

Factorization String 7 × 11 × 18973
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,821,504
Proper Divisor Sum 360,583
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1460911 ← → #1460923

Radix Representation

Decimal 1460921
Binary 101100100101010111001 (21 bits)
Octal 0o5445271
Hexadecimal 0x164AB9

Divisor Catalog (8)

1 7 11 77 18,973 132,811 208,703 1,460,921

Collatz Trajectory (168 steps to reach 1)

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

1,460,921 4,382,764 2,191,382 1,095,691 3,287,074 1,643,537 4,930,612 2,465,306 1,232,653 3,697,960 1,848,980 924,490 462,245 1,386,736 693,368 346,684 173,342 86,671 260,014 130,007 390,022 195,011 585,034 292,517 877,552 438,776 219,388 109,694 54,847 164,542 82,271 246,814 123,407 370,222 185,111 555,334 277,667 833,002 416,501 1,249,504 624,752 312,376 156,188 78,094 39,047 117,142 58,571 175,714 87,857 263,572 131,786 65,893 197,680 98,840 49,420 24,710 12,355 37,066 18,533 55,600

More profiles

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