λ
Harmonic Matrix

1,271,531

1271531
Deficient Odd Prime

1,271,531 has digital root 2. The neighboring primes are 1271521 and 1271551; its proper-divisor sum differs from the starting integer by -1,271,530.

Prime Factor Structure

Factorization String 1271531
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,271,532
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1271521 ← → #1271551

Radix Representation

Decimal 1271531
Binary 100110110011011101011 (21 bits)
Octal 0o4663353
Hexadecimal 0x1366EB

Divisor Catalog (2)

Collatz Trajectory (173 steps to reach 1)

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

1,271,531 3,814,594 1,907,297 5,721,892 2,860,946 1,430,473 4,291,420 2,145,710 1,072,855 3,218,566 1,609,283 4,827,850 2,413,925 7,241,776 3,620,888 1,810,444 905,222 452,611 1,357,834 678,917 2,036,752 1,018,376 509,188 254,594 127,297 381,892 190,946 95,473 286,420 143,210 71,605 214,816 107,408 53,704 26,852 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345

More profiles

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