7,388,367

3 × 7² × 50261

7,388,367 has digital root 6. The neighboring primes are 7388363 and 7388369; its proper-divisor sum differs from the starting integer by -3,316,998.

Prime Factor Structure

Factorization String 3 × 7^2 × 50261

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,459,736

Proper Divisor Sum 4,071,369

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7388363 ← → #7388369

Radix Representation

Decimal	7388367
Binary	11100001011110011001111 (23 bits)
Octal	0o34136317
Hexadecimal	0x70BCCF

Divisor Catalog (12)

1 3 7 21 49 147 50,261 150,783 351,827 1,055,481 2,462,789 7,388,367

Collatz Trajectory (191 steps to reach 1)

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

7,388,367 22,165,102 11,082,551 33,247,654 16,623,827 49,871,482 24,935,741 74,807,224 37,403,612 18,701,806 9,350,903 28,052,710 14,026,355 42,079,066 21,039,533 63,118,600 31,559,300 15,779,650 7,889,825 23,669,476 11,834,738 5,917,369 17,752,108 8,876,054 4,438,027 13,314,082 6,657,041 19,971,124 9,985,562 4,992,781 14,978,344 7,489,172 3,744,586 1,872,293 5,616,880 2,808,440 1,404,220 702,110 351,055 1,053,166 526,583 1,579,750 789,875 2,369,626 1,184,813 3,554,440 1,777,220 888,610 444,305 1,332,916 666,458 333,229 999,688 499,844 249,922 124,961 374,884 187,442 93,721 281,164

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