λ
Prime Ledger

7,437,215

5 × 83 × 17921
Deficient Odd Composite

7,437,215 has the prime decomposition 5 × 83 × 17921. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 83 × 17921
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,032,688
Proper Divisor Sum 1,595,473
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7437191 ← → #7437217

Radix Representation

Decimal 7437215
Binary 11100010111101110011111 (23 bits)
Octal 0o34275637
Hexadecimal 0x717B9F

Divisor Catalog (8)

1 5 83 415 17,921 89,605 1,487,443 7,437,215

Collatz Trajectory (80 steps to reach 1)

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

7,437,215 22,311,646 11,155,823 33,467,470 16,733,735 50,201,206 25,100,603 75,301,810 37,650,905 112,952,716 56,476,358 28,238,179 84,714,538 42,357,269 127,071,808 63,535,904 31,767,952 15,883,976 7,941,988 3,970,994 1,985,497 5,956,492 2,978,246 1,489,123 4,467,370 2,233,685 6,701,056 3,350,528 1,675,264 837,632 418,816 209,408 104,704 52,352 26,176 13,088 6,544 3,272 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37

More profiles

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