λ
Harmonic Matrix

2,507,303

2507303
Deficient Odd Prime

2,507,303 has digital root 2. The neighboring primes are 2507291 and 2507317; its proper-divisor sum differs from the starting integer by -2,507,302.

Prime Factor Structure

Factorization String 2507303
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,507,304
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2507291 ← → #2507317

Radix Representation

Decimal 2507303
Binary 1001100100001000100111 (22 bits)
Octal 0o11441047
Hexadecimal 0x264227

Divisor Catalog (2)

Collatz Trajectory (81 steps to reach 1)

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

2,507,303 7,521,910 3,760,955 11,282,866 5,641,433 16,924,300 8,462,150 4,231,075 12,693,226 6,346,613 19,039,840 9,519,920 4,759,960 2,379,980 1,189,990 594,995 1,784,986 892,493 2,677,480 1,338,740 669,370 334,685 1,004,056 502,028 251,014 125,507 376,522 188,261 564,784 282,392 141,196 70,598 35,299 105,898 52,949 158,848 79,424 39,712 19,856 9,928 4,964 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74

More profiles

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