λ
Harmonic Matrix

1,464,762

2 × 3 × 13 × 89 × 211
Abundant Even Composite

1,464,762 has digital root 3. The neighboring primes are 1464751 and 1464769; its proper-divisor sum differs from the starting integer by 275,916.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 89 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,205,440
Proper Divisor Sum 1,740,678
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1464751 ← → #1464769

Radix Representation

Decimal 1464762
Binary 101100101100110111010 (21 bits)
Octal 0o5454672
Hexadecimal 0x1659BA

Divisor Catalog (32)

1 2 3 6 13 26 39 78 89 178 211 267 422 534 633 1,157 1,266 2,314 2,743 3,471 5,486 6,942 8,229 16,458 18,779 37,558 56,337 112,674 244,127 488,254 732,381 1,464,762

Collatz Trajectory (181 steps to reach 1)

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

1,464,762 732,381 2,197,144 1,098,572 549,286 274,643 823,930 411,965 1,235,896 617,948 308,974 154,487 463,462 231,731 695,194 347,597 1,042,792 521,396 260,698 130,349 391,048 195,524 97,762 48,881 146,644 73,322 36,661 109,984 54,992 27,496 13,748 6,874 3,437 10,312 5,156 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552

More profiles

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