λ
Harmonic Matrix

1,512,361

1512361
Deficient Odd Prime

1,512,361 has digital root 1. The neighboring primes are 1512331 and 1512383; its proper-divisor sum differs from the starting integer by -1,512,360.

Prime Factor Structure

Factorization String 1512361
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,512,362
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1512331 ← → #1512383

Radix Representation

Decimal 1512361
Binary 101110001001110101001 (21 bits)
Octal 0o5611651
Hexadecimal 0x1713A9

Divisor Catalog (2)

Collatz Trajectory (150 steps to reach 1)

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

1,512,361 4,537,084 2,268,542 1,134,271 3,402,814 1,701,407 5,104,222 2,552,111 7,656,334 3,828,167 11,484,502 5,742,251 17,226,754 8,613,377 25,840,132 12,920,066 6,460,033 19,380,100 9,690,050 4,845,025 14,535,076 7,267,538 3,633,769 10,901,308 5,450,654 2,725,327 8,175,982 4,087,991 12,263,974 6,131,987 18,395,962 9,197,981 27,593,944 13,796,972 6,898,486 3,449,243 10,347,730 5,173,865 15,521,596 7,760,798 3,880,399 11,641,198 5,820,599 17,461,798 8,730,899 26,192,698 13,096,349 39,289,048 19,644,524 9,822,262 4,911,131 14,733,394 7,366,697 22,100,092 11,050,046 5,525,023 16,575,070 8,287,535 24,862,606 12,431,303

More profiles

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