λ
Prime Ledger

5,378,746

2 × 29 × 92737
Deficient Even Composite

5,378,746 has the prime decomposition 2 × 29 × 92737. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 29 × 92737
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,346,420
Proper Divisor Sum 2,967,674
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5378731 ← → #5378819

Radix Representation

Decimal 5378746
Binary 10100100001001010111010 (23 bits)
Octal 0o24411272
Hexadecimal 0x5212BA

Divisor Catalog (8)

1 2 29 58 92,737 185,474 2,689,373 5,378,746

Collatz Trajectory (95 steps to reach 1)

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

5,378,746 2,689,373 8,068,120 4,034,060 2,017,030 1,008,515 3,025,546 1,512,773 4,538,320 2,269,160 1,134,580 567,290 283,645 850,936 425,468 212,734 106,367 319,102 159,551 478,654 239,327 717,982 358,991 1,076,974 538,487 1,615,462 807,731 2,423,194 1,211,597 3,634,792 1,817,396 908,698 454,349 1,363,048 681,524 340,762 170,381 511,144 255,572 127,786 63,893 191,680 95,840 47,920 23,960 11,980 5,990 2,995 8,986 4,493 13,480 6,740 3,370 1,685 5,056 2,528 1,264 632 316 158

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