λ
Integer Codex

7,482,878

2 × 13 × 277 × 1039
Deficient Even Composite

For 7,482,878, the 16 positive divisors have a total of 12,143,040. Removing 7,482,878 leaves 4,660,162, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 13 × 277 × 1039
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,143,040
Proper Divisor Sum 4,660,162
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #7482877 ← → #7482883

Radix Representation

Decimal 7482878
Binary 11100100010110111111110 (23 bits)
Octal 0o34426776
Hexadecimal 0x722DFE

Divisor Catalog (16)

1 2 13 26 277 554 1,039 2,078 3,601 7,202 13,507 27,014 287,803 575,606 3,741,439 7,482,878

Collatz Trajectory (235 steps to reach 1)

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

7,482,878 3,741,439 11,224,318 5,612,159 16,836,478 8,418,239 25,254,718 12,627,359 37,882,078 18,941,039 56,823,118 28,411,559 85,234,678 42,617,339 127,852,018 63,926,009 191,778,028 95,889,014 47,944,507 143,833,522 71,916,761 215,750,284 107,875,142 53,937,571 161,812,714 80,906,357 242,719,072 121,359,536 60,679,768 30,339,884 15,169,942 7,584,971 22,754,914 11,377,457 34,132,372 17,066,186 8,533,093 25,599,280 12,799,640 6,399,820 3,199,910 1,599,955 4,799,866 2,399,933 7,199,800 3,599,900 1,799,950 899,975 2,699,926 1,349,963 4,049,890 2,024,945 6,074,836 3,037,418 1,518,709 4,556,128 2,278,064 1,139,032 569,516 284,758

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