λ
Prime Ledger

7,402,874

2 × 3701437
Deficient Even Composite

7,402,874 has the prime decomposition 2 × 3701437. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 3701437
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,104,314
Proper Divisor Sum 3,701,440
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7402873 ← → #7402877

Radix Representation

Decimal 7402874
Binary 11100001111010101111010 (23 bits)
Octal 0o34172572
Hexadecimal 0x70F57A

Divisor Catalog (4)

1 2 3,701,437 7,402,874

Collatz Trajectory (204 steps to reach 1)

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

7,402,874 3,701,437 11,104,312 5,552,156 2,776,078 1,388,039 4,164,118 2,082,059 6,246,178 3,123,089 9,369,268 4,684,634 2,342,317 7,026,952 3,513,476 1,756,738 878,369 2,635,108 1,317,554 658,777 1,976,332 988,166 494,083 1,482,250 741,125 2,223,376 1,111,688 555,844 277,922 138,961 416,884 208,442 104,221 312,664 156,332 78,166 39,083 117,250 58,625 175,876 87,938 43,969 131,908 65,954 32,977 98,932 49,466 24,733 74,200 37,100 18,550 9,275 27,826 13,913 41,740 20,870 10,435 31,306 15,653 46,960

More profiles

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