λ
Integer Codex

4,877,527

4877527
Deficient Odd Prime

For 4,877,527, the 2 positive divisors have a total of 4,877,528. Removing 4,877,527 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 4877527
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,877,528
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4877513 ← → #4877557

Radix Representation

Decimal 4877527
Binary 10010100110110011010111 (23 bits)
Octal 0o22466327
Hexadecimal 0x4A6CD7

Divisor Catalog (2)

1 4,877,527

Collatz Trajectory (250 steps to reach 1)

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

4,877,527 14,632,582 7,316,291 21,948,874 10,974,437 32,923,312 16,461,656 8,230,828 4,115,414 2,057,707 6,173,122 3,086,561 9,259,684 4,629,842 2,314,921 6,944,764 3,472,382 1,736,191 5,208,574 2,604,287 7,812,862 3,906,431 11,719,294 5,859,647 17,578,942 8,789,471 26,368,414 13,184,207 39,552,622 19,776,311 59,328,934 29,664,467 88,993,402 44,496,701 133,490,104 66,745,052 33,372,526 16,686,263 50,058,790 25,029,395 75,088,186 37,544,093 112,632,280 56,316,140 28,158,070 14,079,035 42,237,106 21,118,553 63,355,660 31,677,830 15,838,915 47,516,746 23,758,373 71,275,120 35,637,560 17,818,780 8,909,390 4,454,695 13,364,086 6,682,043

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