λ
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7,615,340

22 × 5 × 37 × 41 × 251
Abundant Even Composite

7,615,340 factors as 2^2 × 5 × 37 × 41 × 251. Its 48 positive divisors give a proper-divisor sum of 9,276,724, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 37 × 41 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,892,064
Proper Divisor Sum 9,276,724
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7615331 ← → #7615351

Radix Representation

Decimal 7615340
Binary 11101000011001101101100 (23 bits)
Octal 0o35031554
Hexadecimal 0x74336C

Divisor Catalog (48)

1 2 4 5 10 20 37 41 74 82 148 164 185 205 251 370 410 502 740 820 1,004 1,255 1,517 2,510 3,034 5,020 6,068 7,585 9,287 10,291 15,170 18,574 20,582 30,340 37,148 41,164 46,435 51,455 92,870 102,910 185,740 205,820 380,767 761,534 1,523,068 1,903,835 3,807,670 7,615,340

Collatz Trajectory (173 steps to reach 1)

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

7,615,340 3,807,670 1,903,835 5,711,506 2,855,753 8,567,260 4,283,630 2,141,815 6,425,446 3,212,723 9,638,170 4,819,085 14,457,256 7,228,628 3,614,314 1,807,157 5,421,472 2,710,736 1,355,368 677,684 338,842 169,421 508,264 254,132 127,066 63,533 190,600 95,300 47,650 23,825 71,476 35,738 17,869 53,608 26,804 13,402 6,701 20,104 10,052 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348

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