λ
Harmonic Matrix

3,616,147

3616147
Deficient Odd Prime

3,616,147 has digital root 1. The neighboring primes are 3616127 and 3616183; its proper-divisor sum differs from the starting integer by -3,616,146.

Prime Factor Structure

Factorization String 3616147
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,616,148
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3616127 ← → #3616183

Radix Representation

Decimal 3616147
Binary 1101110010110110010011 (22 bits)
Octal 0o15626623
Hexadecimal 0x372D93

Divisor Catalog (2)

Collatz Trajectory (115 steps to reach 1)

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

3,616,147 10,848,442 5,424,221 16,272,664 8,136,332 4,068,166 2,034,083 6,102,250 3,051,125 9,153,376 4,576,688 2,288,344 1,144,172 572,086 286,043 858,130 429,065 1,287,196 643,598 321,799 965,398 482,699 1,448,098 724,049 2,172,148 1,086,074 543,037 1,629,112 814,556 407,278 203,639 610,918 305,459 916,378 458,189 1,374,568 687,284 343,642 171,821 515,464 257,732 128,866 64,433 193,300 96,650 48,325 144,976 72,488 36,244 18,122 9,061 27,184 13,592 6,796 3,398 1,699 5,098 2,549 7,648 3,824

More profiles

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