λ
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7,303,755

3 × 5 × 31 × 113 × 139
Deficient Odd Composite

7,303,755 factors as 3 × 5 × 31 × 113 × 139. Its 32 positive divisors give a proper-divisor sum of 4,953,525, so this integer is deficient. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 113 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,257,280
Proper Divisor Sum 4,953,525
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7303739 ← → #7303757

Radix Representation

Decimal 7303755
Binary 11011110111001001001011 (23 bits)
Octal 0o33671113
Hexadecimal 0x6F724B

Divisor Catalog (32)

1 3 5 15 31 93 113 139 155 339 417 465 565 695 1,695 2,085 3,503 4,309 10,509 12,927 15,707 17,515 21,545 47,121 52,545 64,635 78,535 235,605 486,917 1,460,751 2,434,585 7,303,755

Collatz Trajectory (59 steps to reach 1)

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

7,303,755 21,911,266 10,955,633 32,866,900 16,433,450 8,216,725 24,650,176 12,325,088 6,162,544 3,081,272 1,540,636 770,318 385,159 1,155,478 577,739 1,733,218 866,609 2,599,828 1,299,914 649,957 1,949,872 974,936 487,468 243,734 121,867 365,602 182,801 548,404 274,202 137,101 411,304 205,652 102,826 51,413 154,240 77,120 38,560 19,280 9,640 4,820 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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