λ
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307,600

24 × 52 × 769
Abundant Even Composite

307,600 factors as 2^4 × 5^2 × 769. Its 30 positive divisors give a proper-divisor sum of 432,370, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 769
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 739,970
Proper Divisor Sum 432,370
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #307589 ← → #307609

Radix Representation

Decimal 307600
Binary 1001011000110010000 (19 bits)
Octal 0o1130620
Hexadecimal 0x4B190

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 769 1,538 3,076 3,845 6,152 7,690 12,304 15,380 19,225 30,760 38,450 61,520 76,900 153,800 307,600

Collatz Trajectory (78 steps to reach 1)

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

307,600 153,800 76,900 38,450 19,225 57,676 28,838 14,419 43,258 21,629 64,888 32,444 16,222 8,111 24,334 12,167 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56

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