λ
Ratio Atlas

83,827,439

83827439
Deficient Odd Prime

83,827,439 factors as 83827439. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 329 steps.

Prime Factor Structure

Factorization String 83827439
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 83,827,440
Proper Divisor Sum 1
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #83827399 ← → #83827463

Radix Representation

Decimal 83827439
Binary 100111111110001101011101111 (27 bits)
Octal 0o477615357
Hexadecimal 0x4FF1AEF

Divisor Catalog (2)

1 83,827,439

Collatz Trajectory (329 steps to reach 1)

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

83,827,439 251,482,318 125,741,159 377,223,478 188,611,739 565,835,218 282,917,609 848,752,828 424,376,414 212,188,207 636,564,622 318,282,311 954,846,934 477,423,467 1,432,270,402 716,135,201 2,148,405,604 1,074,202,802 537,101,401 1,611,304,204 805,652,102 402,826,051 1,208,478,154 604,239,077 1,812,717,232 906,358,616 453,179,308 226,589,654 113,294,827 339,884,482 169,942,241 509,826,724 254,913,362 127,456,681 382,370,044 191,185,022 95,592,511 286,777,534 143,388,767 430,166,302 215,083,151 645,249,454 322,624,727 967,874,182 483,937,091 1,451,811,274 725,905,637 2,177,716,912 1,088,858,456 544,429,228 272,214,614 136,107,307 408,321,922 204,160,961 612,482,884 306,241,442 153,120,721 459,362,164 229,681,082 114,840,541

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