λ
Prime Ledger

5,407,521

3 × 7 × 257501
Deficient Odd Composite

5,407,521 has the prime decomposition 3 × 7 × 257501. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 257501
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,240,064
Proper Divisor Sum 2,832,543
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5407511 ← → #5407529

Radix Representation

Decimal 5407521
Binary 10100101000001100100001 (23 bits)
Octal 0o24501441
Hexadecimal 0x528321

Divisor Catalog (8)

1 3 7 21 257,501 772,503 1,802,507 5,407,521

Collatz Trajectory (188 steps to reach 1)

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

5,407,521 16,222,564 8,111,282 4,055,641 12,166,924 6,083,462 3,041,731 9,125,194 4,562,597 13,687,792 6,843,896 3,421,948 1,710,974 855,487 2,566,462 1,283,231 3,849,694 1,924,847 5,774,542 2,887,271 8,661,814 4,330,907 12,992,722 6,496,361 19,489,084 9,744,542 4,872,271 14,616,814 7,308,407 21,925,222 10,962,611 32,887,834 16,443,917 49,331,752 24,665,876 12,332,938 6,166,469 18,499,408 9,249,704 4,624,852 2,312,426 1,156,213 3,468,640 1,734,320 867,160 433,580 216,790 108,395 325,186 162,593 487,780 243,890 121,945 365,836 182,918 91,459 274,378 137,189 411,568 205,784

More profiles

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