λ
Harmonic Matrix

628,357

628357
Deficient Odd Prime

628,357 has digital root 4. The neighboring primes are 628319 and 628363; its proper-divisor sum differs from the starting integer by -628,356.

Prime Factor Structure

Factorization String 628357
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 628,358
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #628319 ← → #628363

Radix Representation

Decimal 628357
Binary 10011001011010000101 (20 bits)
Octal 0o2313205
Hexadecimal 0x99685

Divisor Catalog (2)

Collatz Trajectory (110 steps to reach 1)

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

628,357 1,885,072 942,536 471,268 235,634 117,817 353,452 176,726 88,363 265,090 132,545 397,636 198,818 99,409 298,228 149,114 74,557 223,672 111,836 55,918 27,959 83,878 41,939 125,818 62,909 188,728 94,364 47,182 23,591 70,774 35,387 106,162 53,081 159,244 79,622 39,811 119,434 59,717 179,152 89,576 44,788 22,394 11,197 33,592 16,796 8,398 4,199 12,598 6,299 18,898 9,449 28,348 14,174 7,087 21,262 10,631 31,894 15,947 47,842 23,921

More profiles

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