λ
Harmonic Matrix

4,774,952

23 × 72 × 13 × 937
Abundant Even Composite

4,774,952 has digital root 2. The neighboring primes are 4774951 and 4774967; its proper-divisor sum differs from the starting integer by 1,677,956.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 13 × 937
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,227,860
Proper Divisor Sum 6,452,908
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4774951 ← → #4774967

Radix Representation

Decimal 4774952
Binary 10010001101110000101000 (23 bits)
Octal 0o22156050
Hexadecimal 0x48DC28

Divisor Catalog (48)

1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 937 1,274 1,874 2,548 3,748 5,096 6,559 7,496 12,181 13,118 24,362 26,236 45,913 48,724 52,472 85,267 91,826 97,448 170,534 183,652 341,068 367,304 596,869 682,136 1,193,738 2,387,476 4,774,952

Collatz Trajectory (100 steps to reach 1)

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

4,774,952 2,387,476 1,193,738 596,869 1,790,608 895,304 447,652 223,826 111,913 335,740 167,870 83,935 251,806 125,903 377,710 188,855 566,566 283,283 849,850 424,925 1,274,776 637,388 318,694 159,347 478,042 239,021 717,064 358,532 179,266 89,633 268,900 134,450 67,225 201,676 100,838 50,419 151,258 75,629 226,888 113,444 56,722 28,361 85,084 42,542 21,271 63,814 31,907 95,722 47,861 143,584 71,792 35,896 17,948 8,974 4,487 13,462 6,731 20,194 10,097 30,292

More profiles

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