λ
Harmonic Matrix

4,615,136

25 × 144223
Deficient Even Composite

4,615,136 has digital root 8. The neighboring primes are 4615123 and 4615139; its proper-divisor sum differs from the starting integer by -144,160.

Prime Factor Structure

Factorization String 2^5 × 144223
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,086,112
Proper Divisor Sum 4,470,976
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4615123 ← → #4615139

Radix Representation

Decimal 4615136
Binary 10001100110101111100000 (23 bits)
Octal 0o21465740
Hexadecimal 0x466BE0

Divisor Catalog (12)

1 2 4 8 16 32 144,223 288,446 576,892 1,153,784 2,307,568 4,615,136

Collatz Trajectory (87 steps to reach 1)

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

4,615,136 2,307,568 1,153,784 576,892 288,446 144,223 432,670 216,335 649,006 324,503 973,510 486,755 1,460,266 730,133 2,190,400 1,095,200 547,600 273,800 136,900 68,450 34,225 102,676 51,338 25,669 77,008 38,504 19,252 9,626 4,813 14,440 7,220 3,610 1,805 5,416 2,708 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820

More profiles

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