λ
Prime Ledger

1,291,391

1291391
Deficient Odd Prime

1,291,391 has the prime decomposition 1291391. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 1291391
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,291,392
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1291387 ← → #1291421

Radix Representation

Decimal 1291391
Binary 100111011010001111111 (21 bits)
Octal 0o4732177
Hexadecimal 0x13B47F

Divisor Catalog (2)

1 1,291,391

Collatz Trajectory (173 steps to reach 1)

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

1,291,391 3,874,174 1,937,087 5,811,262 2,905,631 8,716,894 4,358,447 13,075,342 6,537,671 19,613,014 9,806,507 29,419,522 14,709,761 44,129,284 22,064,642 11,032,321 33,096,964 16,548,482 8,274,241 24,822,724 12,411,362 6,205,681 18,617,044 9,308,522 4,654,261 13,962,784 6,981,392 3,490,696 1,745,348 872,674 436,337 1,309,012 654,506 327,253 981,760 490,880 245,440 122,720 61,360 30,680 15,340 7,670 3,835 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194

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