λ
Harmonic Matrix

4,415,749

13 × 339673
Deficient Odd Composite

4,415,749 has digital root 7. The neighboring primes are 4415717 and 4415753; its proper-divisor sum differs from the starting integer by -4,076,062.

Prime Factor Structure

Factorization String 13 × 339673
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,755,436
Proper Divisor Sum 339,687
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4415717 ← → #4415753

Radix Representation

Decimal 4415749
Binary 10000110110000100000101 (23 bits)
Octal 0o20660405
Hexadecimal 0x436105

Divisor Catalog (4)

1 13 339,673 4,415,749

Collatz Trajectory (180 steps to reach 1)

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

4,415,749 13,247,248 6,623,624 3,311,812 1,655,906 827,953 2,483,860 1,241,930 620,965 1,862,896 931,448 465,724 232,862 116,431 349,294 174,647 523,942 261,971 785,914 392,957 1,178,872 589,436 294,718 147,359 442,078 221,039 663,118 331,559 994,678 497,339 1,492,018 746,009 2,238,028 1,119,014 559,507 1,678,522 839,261 2,517,784 1,258,892 629,446 314,723 944,170 472,085 1,416,256 708,128 354,064 177,032 88,516 44,258 22,129 66,388 33,194 16,597 49,792 24,896 12,448 6,224 3,112 1,556 778

More profiles

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