λ
Harmonic Matrix

3,177,457

3177457
Deficient Odd Prime

3,177,457 has digital root 7. The neighboring primes are 3177397 and 3177497; its proper-divisor sum differs from the starting integer by -3,177,456.

Prime Factor Structure

Factorization String 3177457
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,177,458
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3177397 ← → #3177497

Radix Representation

Decimal 3177457
Binary 1100000111101111110001 (22 bits)
Octal 0o14075761
Hexadecimal 0x307BF1

Divisor Catalog (2)

Collatz Trajectory (195 steps to reach 1)

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

3,177,457 9,532,372 4,766,186 2,383,093 7,149,280 3,574,640 1,787,320 893,660 446,830 223,415 670,246 335,123 1,005,370 502,685 1,508,056 754,028 377,014 188,507 565,522 282,761 848,284 424,142 212,071 636,214 318,107 954,322 477,161 1,431,484 715,742 357,871 1,073,614 536,807 1,610,422 805,211 2,415,634 1,207,817 3,623,452 1,811,726 905,863 2,717,590 1,358,795 4,076,386 2,038,193 6,114,580 3,057,290 1,528,645 4,585,936 2,292,968 1,146,484 573,242 286,621 859,864 429,932 214,966 107,483 322,450 161,225 483,676 241,838 120,919

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