λ
Integer Codex

671,724

22 × 32 × 47 × 397
Abundant Even Composite

For 671,724, the 36 positive divisors have a total of 1,738,464. Removing 671,724 leaves 1,066,740, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 47 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 1,738,464
Proper Divisor Sum 1,066,740
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #671717 ← → #671729

Radix Representation

Decimal 671724
Binary 10100011111111101100 (20 bits)
Octal 0o2437754
Hexadecimal 0xA3FEC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 47 94 141 188 282 397 423 564 794 846 1,191 1,588 1,692 2,382 3,573 4,764 7,146 14,292 18,659 37,318 55,977 74,636 111,954 167,931 223,908 335,862 671,724

Collatz Trajectory (92 steps to reach 1)

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

671,724 335,862 167,931 503,794 251,897 755,692 377,846 188,923 566,770 283,385 850,156 425,078 212,539 637,618 318,809 956,428 478,214 239,107 717,322 358,661 1,075,984 537,992 268,996 134,498 67,249 201,748 100,874 50,437 151,312 75,656 37,828 18,914 9,457 28,372 14,186 7,093 21,280 10,640 5,320 2,660 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119

More profiles

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