λ
Prime Ledger

7,505,390

2 × 5 × 59 × 12721
Deficient Even Composite

7,505,390 has the prime decomposition 2 × 5 × 59 × 12721. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 59 × 12721
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,739,760
Proper Divisor Sum 6,234,370
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7505389 ← → #7505417

Radix Representation

Decimal 7505390
Binary 11100101000010111101110 (23 bits)
Octal 0o34502756
Hexadecimal 0x7285EE

Divisor Catalog (16)

1 2 5 10 59 118 295 590 12,721 25,442 63,605 127,210 750,539 1,501,078 3,752,695 7,505,390

Collatz Trajectory (279 steps to reach 1)

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

7,505,390 3,752,695 11,258,086 5,629,043 16,887,130 8,443,565 25,330,696 12,665,348 6,332,674 3,166,337 9,499,012 4,749,506 2,374,753 7,124,260 3,562,130 1,781,065 5,343,196 2,671,598 1,335,799 4,007,398 2,003,699 6,011,098 3,005,549 9,016,648 4,508,324 2,254,162 1,127,081 3,381,244 1,690,622 845,311 2,535,934 1,267,967 3,803,902 1,901,951 5,705,854 2,852,927 8,558,782 4,279,391 12,838,174 6,419,087 19,257,262 9,628,631 28,885,894 14,442,947 43,328,842 21,664,421 64,993,264 32,496,632 16,248,316 8,124,158 4,062,079 12,186,238 6,093,119 18,279,358 9,139,679 27,419,038 13,709,519 41,128,558 20,564,279 61,692,838

More profiles

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