λ
Harmonic Matrix

5,301,407

5301407
Deficient Odd Prime

5,301,407 has digital root 2. The neighboring primes are 5301391 and 5301469; its proper-divisor sum differs from the starting integer by -5,301,406.

Prime Factor Structure

Factorization String 5301407
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,301,408
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #5301391 ← → #5301469

Radix Representation

Decimal 5301407
Binary 10100001110010010011111 (23 bits)
Octal 0o24162237
Hexadecimal 0x50E49F

Divisor Catalog (2)

Collatz Trajectory (232 steps to reach 1)

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

5,301,407 15,904,222 7,952,111 23,856,334 11,928,167 35,784,502 17,892,251 53,676,754 26,838,377 80,515,132 40,257,566 20,128,783 60,386,350 30,193,175 90,579,526 45,289,763 135,869,290 67,934,645 203,803,936 101,901,968 50,950,984 25,475,492 12,737,746 6,368,873 19,106,620 9,553,310 4,776,655 14,329,966 7,164,983 21,494,950 10,747,475 32,242,426 16,121,213 48,363,640 24,181,820 12,090,910 6,045,455 18,136,366 9,068,183 27,204,550 13,602,275 40,806,826 20,403,413 61,210,240 30,605,120 15,302,560 7,651,280 3,825,640 1,912,820 956,410 478,205 1,434,616 717,308 358,654 179,327 537,982 268,991 806,974 403,487 1,210,462

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