λ
Harmonic Matrix

1,271,807

1271807
Deficient Odd Prime

1,271,807 has digital root 8. The neighboring primes are 1271797 and 1271813; its proper-divisor sum differs from the starting integer by -1,271,806.

Prime Factor Structure

Factorization String 1271807
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,271,808
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1271797 ← → #1271813

Radix Representation

Decimal 1271807
Binary 100110110011111111111 (21 bits)
Octal 0o4663777
Hexadecimal 0x1367FF

Divisor Catalog (2)

Collatz Trajectory (323 steps to reach 1)

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

1,271,807 3,815,422 1,907,711 5,723,134 2,861,567 8,584,702 4,292,351 12,877,054 6,438,527 19,315,582 9,657,791 28,973,374 14,486,687 43,460,062 21,730,031 65,190,094 32,595,047 97,785,142 48,892,571 146,677,714 73,338,857 220,016,572 110,008,286 55,004,143 165,012,430 82,506,215 247,518,646 123,759,323 371,277,970 185,638,985 556,916,956 278,458,478 139,229,239 417,687,718 208,843,859 626,531,578 313,265,789 939,797,368 469,898,684 234,949,342 117,474,671 352,424,014 176,212,007 528,636,022 264,318,011 792,954,034 396,477,017 1,189,431,052 594,715,526 297,357,763 892,073,290 446,036,645 1,338,109,936 669,054,968 334,527,484 167,263,742 83,631,871 250,895,614 125,447,807 376,343,422

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