λ
Harmonic Matrix

1,506,473

1506473
Deficient Odd Prime

1,506,473 has digital root 8. The neighboring primes are 1506457 and 1506487; its proper-divisor sum differs from the starting integer by -1,506,472.

Prime Factor Structure

Factorization String 1506473
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,506,474
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1506457 ← → #1506487

Radix Representation

Decimal 1506473
Binary 101101111110010101001 (21 bits)
Octal 0o5576251
Hexadecimal 0x16FCA9

Divisor Catalog (2)

Collatz Trajectory (163 steps to reach 1)

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

1,506,473 4,519,420 2,259,710 1,129,855 3,389,566 1,694,783 5,084,350 2,542,175 7,626,526 3,813,263 11,439,790 5,719,895 17,159,686 8,579,843 25,739,530 12,869,765 38,609,296 19,304,648 9,652,324 4,826,162 2,413,081 7,239,244 3,619,622 1,809,811 5,429,434 2,714,717 8,144,152 4,072,076 2,036,038 1,018,019 3,054,058 1,527,029 4,581,088 2,290,544 1,145,272 572,636 286,318 143,159 429,478 214,739 644,218 322,109 966,328 483,164 241,582 120,791 362,374 181,187 543,562 271,781 815,344 407,672 203,836 101,918 50,959 152,878 76,439 229,318 114,659 343,978

More profiles

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